# Henry A. Rowland Department of Physics and Astronomy

http://physics-astronomy.jhu.edu/

Johns Hopkins is the nation’s first research university. That emphasis on research continues to this day and forms the backbone of the undergraduate and graduate programs in the Department of Physics and Astronomy. The department’s research program is focused into four areas of excellence: Astrophysics, Condensed Matter Physics, Elementary Particle Physics, and Plasma Physics. For graduate students interested in these fields, the department offers world-class research opportunities in a friendly and supportive setting. For undergraduates, JHU offers exposure to cutting-edge research combined with a level of personal attention that is typically found only in liberal arts colleges. Nearly all physics majors at JHU work on research projects and many begin as freshmen or sophomores.

All research builds upon an established body of knowledge. To be effective researchers, teachers, or professionals, both undergraduate and graduate students must acquire a core knowledge of physics. Our undergraduate and graduate courses are designed to cover the core subjects at the appropriate levels, leading to advanced courses on a variety of specialized topics. As a consequence, students having different backgrounds or different ultimate objectives can select those parts that are most appropriate for them. The selections are made under the guidance of a faculty advisor. The advisor aids the student in making the most efficient use of his or her time and ensures that his or her program contains a reasonable balance among classroom and laboratory, mathematics, seminars, and introduction to research.

## Requirements for the B.A. and B.S. Degrees

(See also Requirements for a Bachelor's Degree.)

The major program is structured so that nearly all students take the same classes during the first two years and must complete the same list of core upper-level courses during their second two years, but permits a variety of choices in upper-level electives. The total number of credits required for the B.A. degree is 120 and the B.S. is 126. By the end of the four years our students share an understanding of classical mechanics, electromagnetism, and quantum mechanics, and have acquired physics lab skills that will support them in graduate school or in a host of other pursuits.

**Core Courses**

### Mathematics

**The standard mathematics requirements for all physics majors consist of:**

AS.110.108 | Calculus I | 4 |

AS.110.109 | Calculus II (For Physical Sciences and Engineering) | 4 |

or AS.110.113 | Honors Single Variable Calculus | |

AS.110.202 | Calculus III | 4 |

or AS.110.211 | Honors Multivariable Calculus | |

AS.110.302 | Diff Equations/Applic | 4 |

or AS.110.306 | Honors Differential Equations | |

AS.110.201 | Linear Algebra | 4 |

or AS.110.212 | Honors Linear Algebra | |

Total Credits | 20 |

**Physics and Astronomy **

**The standard physics and astronomy requirements for all physics majors consist of:**

AS.171.105 | Classical Mechanics I | 4 |

AS.173.115 | Classical Mechanics Laboratory | 1 |

AS.171.106 | Electricity and Magnetism I | 4 |

AS.173.116 | Electricity and Magnetism Laboratory | 1 |

AS.171.201 | Special Relativity/Waves | 4 |

or AS.171.309 & AS.171.207 | Wave Phenomena with Biophysical Application and Special Relativity | |

AS.172.203 | Contemporary Phys Sem | 1 |

AS.171.202 | Modern Physics | 4 |

or AS.171.310 | Biological Physics | |

AS.171.204 | Classical Mechanics II | 4 |

AS.171.301 | Electromagnetic Theory II | 4 |

AS.171.303 | Quantum Mechanics I | 4 |

AS.171.304 | Quantum Mechanics II | 4 |

or AS.171.312 | Statistical Physics/Thermodynamics | |

AS.173.308 | Advanced Physics Laboratory | 3 |

Total Credits | 38 |

***Note:** AS.171.101-102 or AS.171.103-104 with their labs is acceptable in place of AS.171.105-106, 115-116

**Sample Program of Study**

A typical B.S. in Physics program might include the following sequence of courses:

###### *Note: Because our students arrive with a wide range of mathematical preparation, we advise them to consult the Department of Mathematics to determine the best plan.

Freshman | |||||
---|---|---|---|---|---|

Fall | Credits | Spring | Credits | ||

AS.171.105 | Classical Mechanics I | 4 | AS.171.106 | Electricity and Magnetism I | 4 |

AS.173.115 | Classical Mechanics Laboratory | 1 | AS.173.116 | Electricity and Magnetism Laboratory | 1 |

AS.110.108 | Calculus I | 4 | AS.110.109 | Calculus II (For Physical Sciences and Engineering) | 4 |

9 | 9 | ||||

Sophomore | |||||

Fall | Credits | Spring | Credits | ||

AS.172.203 | Contemporary Phys Sem | 1.00 | AS.171.202 | Modern Physics | 4 |

AS.171.201 | Special Relativity/Waves | 4.00 | AS.171.204 | Classical Mechanics II | 4 |

AS.110.202 or 211 | Calculus III | 4 | AS.110.201 or 212 | Linear Algebra | 4 |

AS.110.302 | Diff Equations/Applic | 4.00 | |||

13 | 12 | ||||

Junior | |||||

Fall | Credits | Spring | Credits | ||

AS.171.301 | Electromagnetic Theory II | 4 | AS.171.304 | Quantum Mechanics II (OR AS.171.312 during Senior Fall) | 4 |

AS.171.303 | Quantum Mechanics I | 4 | AS.173.308 | Advanced Physics Laboratory | 3 |

Department elective #1 | 3-4 | Department elective #2 | 3-4 | ||

11-12 | 10-11 | ||||

Senior | |||||

Fall | Credits | Spring | Credits | ||

Department elective #3 | 3-4 | Additional major elective | 3-4 | ||

Department elective #4 | 3-4 | ||||

3-4 | 6-8 | ||||

Total Credits: 73-78 |

**B.A. Degree**

Two (2) additional courses (at least 3 credits each) at the 300-600 level in the Department of Physics and Astronomy or approved physics-related courses in other departments. Students who intend to continue Physics in graduate school are strongly encouraged to take these electives in Physics and Astronomy, and take both AS.171.301 Electromagnetic Theory II and AS.171.312 Statistical Physics/Thermodynamics.

**B.S. in Physics Degree**

Five (5) additional courses (at least 3 credits each) at the 200-600 level in the following departments: Physics and Astronomy, Biology, Biophysics, Chemistry, Cognitive Science, Earth and Planetary Sciences, Mathematics, and/or the School of Engineering (excluding courses listed as 500.xxx, 660.xxx, 551.xxx and 661.xxx). These courses must constitute a coherent and rigorous program of study approved by the Departmental Advisor and Director of Undergraduate Studies no later than the registration period for the fall semester of the senior year. At least four (4) of these courses must be taken in a single department in the Krieger School of Arts and Sciences or within a single department or program in the Whiting School of Engineering (note: called "Department elective" in the above Sample Program of Study). One (1) semester of research may be used as one elective.

**Recommendations**

An additional two semesters of mathematics are recommended, either AS.110.405 Analysis I or AS.110.311 Methods of Complex Analysis and one other. It is recommended that Physics majors become proficient in a computer programming language, either independently or through course work. Students are encouraged to broaden their background by taking introductory courses in other natural science or engineering disciplines, such as AS.030.101 Introductory Chemistry I.

**Other Departmental Requirements:**

A grade of C- or higher is required for a course to be counted towards major requirements. This includes required math courses. An exception for a single course taken in the year before graduation may be granted by the Director of Undergraduate Studies when there are extenuating circumstances.

**Honors in the Major:**

To receive Honors in Physics, you must have a GPA in your major requirements of a 3.5 or higher.

**Senior Thesis**

Any student majoring in the department may write a senior thesis, based on original research conducted under the supervision of a member of the faculty. Arrangements for this research will be made on an individual basis. The department views the writing of a senior thesis as an excellent capstone experience to an undergraduate education in physics, and encourages all students to consider it.

**Minor in Physics**

To earn a minor in Physics, a student must complete four (4) courses (at least 3 credits each) at the 200-level or above, plus AS.172.203 Contemporary Phys Sem

Restrictions: A grade of "C-" or better must be earned in required courses, which may not be taken S/U.

**Donald E. Kerr Memorial Prize**

In recognition of Dr. Kerr’s work in microwave physics, the department awards the Donald E. Kerr Memorial Prize each year to the most outstanding undergraduate major graduating in physics.

**Graduate Programs**

Graduate study in physics and astronomy at Hopkins is intended primarily to prepare Ph.D. graduates for careers in teaching and research in physics and astronomy, or in applications such as biophysics, space physics, and industrial research. Entering students may elect to work toward a Ph.D. in physics or a Ph.D. in astronomy and astrophysics. The two programs are similar in structure but have somewhat different course requirements (see below). A wide range of research projects—both theoretical and experimental—are available for graduate students in Astrophysics, Condensed Matter Physics, Particle Physics, and Plasma Spectroscopy.

**Admission**

To obtain admission, a student is expected to submit evidence that he or she has a good chance to succeed. Such evidence will ordinarily consist of transcripts of previous academic work, Graduate Record Examination scores (including advanced physics), letters of recommendation, and, for international students, a Test of English as a Foreign Language (TOEFL) score.

**Requirements for the Ph.D. Degree**

The Ph.D. program has strong emphasis on early and active involvement in graduate research. Thus, students are required to have a research advisor and file a research summary every semester they are enrolled in the program, starting with the first one. Furthermore, students must complete the required courses with a grade of B- or better; the coursework is typically done over the first two years. In the beginning of the second year, students complete the research examination, and in the beginning of the third year – the University’s Graduate Board Oral examination, both of which are based on completed or proposed research. During the first two years, students are typically involved in introductory research projects, which may or may not be related to their thesis work, and sometimes work with several different advisors, but they must identify (and have an agreement with) a thesis advisor no later than the beginning of their third year in the program, after which point students focus on their thesis research. The thesis is to be completed by no later than the end of the 6th year, ending with an oral presentation of the thesis to a faculty committee.

**Course Requirements**

### Ph.D. in Physics

Students must complete the following courses:

AS.171.603 | Electromagnetic Theory | |

AS.171.605 & AS.171.606 | Quantum Mechanics and Quantum Mechanics | 0 |

AS.171.703 | Advanced Statistical Mechanics | |

AS.172.632 | Physics Seminar |

### Ph.D. in Astronomy and Astrophysics

Students must complete the following courses:

AS.171.611 | Stellar Structure & Evolution | |

AS.171.612 | Interstellar Medium and Astrophysical Fluid Dynamics | |

AS.171.613 | Radiative Astrophysics | |

AS.171.627 | Astrophysical Dynamics | |

AS.172.633 | Language Of Astrophysics |

The department offers a wide range of graduate physics, astrophysics, mathematical methods and statistics classes, and while only five are required, the students are encouraged to use the flexibility of the graduate program and the available classes to design programs of study that best prepare them for their chosen area of research. In addition to the required courses listed above, below is the list of the graduate courses that have been taught in recent years:

AS.171.602 | Order of Magnitude Physics | |

AS.171.609 & AS.171.610 | and Numerical Methods-Physics | 0 |

AS.171.617 | Extragalactic Astronomy | |

AS.171.618 | Observational Astronomy | |

AS.171.621 & AS.171.622 | Condensed Matter Physics and Condensed Matter Physics | 0 |

AS.171.625 | Experimental Particle Physics | |

AS.171.626 | Data Analysis: Theory & Practice | |

AS.171.628 | Practical Scientific Analysis of Big Data | |

AS.171.633 | Graphics Processor Programming in CUDA | |

AS.171.672 | Introduction Plasma Physics | |

AS.171.699 | Planets, Life and the Universe | |

AS.171.701 & AS.171.702 | Quantum Field Theory and Quantum Field Theory II | 0 |

AS.171.704 | Phase Transitions and Critical Phenomena | |

AS.171.713 | Magnetic Materials and Spintronics | |

AS.171.750 | Cosmology | |

AS.171.751 | Neutron Scattering and Quantum Condensed Matter Physics | |

AS.171.755 | Fourier Optics and Interferometry in Astronomy | |

AS.171.756 | Astrophysics of Compact Objects | |

AS.171.762 | Advanced Condensed Matter | |

AS.171.783 | Advanced Particle Theory | |

AS.171.784 | Advanced Quantum Field Theory | |

AS.173.608 | Advanced Laboratory | |

AS.270.661 | Planetary Fluid Dynamics |

Students in both programs must receive at least a B- in each required course, or they will be required to retake the specific course once more and pass it.

**Advising**

All entering students are assigned to a first-year advisor who works closely with the student through the first two years of graduate study, or until a thesis advisor is found. The first-year advisor advises the student on courses of study, helps familiarize them with the department and provides guidance in finding research opportunities. In the beginning of each fall semester, the department holds a “research jamboree” where incoming students are introduced to the research in the department through a series of brief talks, lab tours, and research group open houses. Thus, the students are familiar, immediately upon their arrival, with the scope of research in the department and can identify prospective research advisors they may wish to work with.

**First and Second-Year Research Requirement**

First-year students must find, by the end of the third week of class in the fall semester, and by the end of the first week of class the second semester, as well as before the summer term begins, a member of the professorial faculty to advise them in some type of research project. The students are required to submit a short written summary of that research experience at the end of the semester. Students may continue with one advisor through all three semesters, or they may choose to cycle through several different research advisors. In some cases, one of these first-year research advisors may become a thesis advisor, but in others, the thesis advisor may change. This research requirement continues until the end of the second year, or until the student finds a thesis advisor.

The nature of these first-year research projects may vary from student to student, from one advisor to another, and from one sub-field of physics to another. In some cases they lead to published research. In other cases, they may be first steps in a longer-term research project. And in some cases, they may comprise reading or independent-study projects to develop background for subsequent research. It is left to the individual advisor to determine what the written summary should entail. These research projects are not research assistantships and are performed in addition to other graduate student responsibilities (teaching and graduate classwork), although they are typically merged with RA-supported research for those students supported by RAs.

**Thesis Research and Defense**

Students are required to find a thesis advisor no later than the beginning of the third year. After the student chooses a thesis advisor, the student forms their Thesis Committee consisting of the advisor and two other faculty members (all Thesis Committees contain at least two full-time faculty from the department). These committees function as extended advisory bodies; students have the opportunity to discuss their progress and problems with several faculty. They also conduct one formal annual review of each student’s progress. Research leading to the dissertation can be carried out not only within the Department of Physics and Astronomy, but with appropriate arrangements, either partly or entirely at other locations if necessitated by the project goals. At the conclusion of thesis research, the student presents the written dissertation to the faculty committee and defends the thesis in an oral examination.

**Requirements for the M.A. Degree**

Although the department does not admit students who intend to pursue the master’s degree exclusively, students in the department’s Ph.D. program and students in other Ph.D. programs at Johns Hopkins may apply to fulfill the requirements for the M.A. degree in the Department of Physics and Astronomy. Students from other JHU departments must seek approval from their home department and from the Department of Physics and Astronomy before beginning their M.A. studies.

### Course Requirements for the M.A.

Students must master the basic undergraduate material covered by the following courses:

AS.171.204 | Classical Mechanics II | 4.00 |

AS.171.301 | Electromagnetic Theory II | 4.00 |

AS.171.303 & AS.171.304 | Quantum Mechanics I and Quantum Mechanics II | 8 |

AS.171.312 | Statistical Physics/Thermodynamics | 4.00 |

Courses taken elsewhere may qualify at the discretion of the Graduate Program Committee.

Students must also complete six one-semester graduate-level (at least three hours/week) courses offered by the Department of Physics and Astronomy. For this purpose, each semester of AS.171.609 -AS.171.610 Numerical Methods-Physics counts as a graduate-level course. In addition, AS.171.801 Independent Research- Graduates-AS.171.802 Independent Research-Graduate may be substituted for any of the above-mentioned graduate or undergraduate courses. The research course must include an essay supervised and approved by a faculty member of the Department of Physics and Astronomy.

The student must receive a grade of B- or above in each of the courses. The graduate-level courses may be retaken once; the undergraduate courses cannot be repeated.

Furthermore, the student must complete at least two semesters of research projects, as described in the requirements for the Ph.D., and complete the departmental research exam. The deadline to fulfill all requirements is the date of the Ph.D. thesis defense.

**Facilities**

The Department of Physics and Astronomy’s first facility was Rowland’s measuring engine for determining the solar spectrum in the 1880s. Ever since that time the Department has maintained a long and continuous history in instrumentation. In recent decades this has extended to instrumentation for space missions. The Department maintains a Class-1000 clean room for microfabrication and nanofabrication, a high bay lab, professional and student machine shops, and supports a world-renowned Instrument Development Group (IDG) with six full-time engineers and three full-time machinists.

Among the diverse techniques used for studying condensed matter physics are magnetometry/susceptometry, specific heat and transport measurements, atomic force and magnetic force microscopy, X-ray and electron diffraction, terahertz spectroscopy, and neutron scattering at the nearby NIST Center for Neutron Research and at the Spallation Neutron Source, ORNL. A variety of cryostats, He3 refrigerators, and He3-He4 dilution refrigerators together with high temperature ovens, electromagnets, and superconducting magnets allow measurements to be made from 0.05 K to 1100 K and in magnetic fields up to 14 Tesla. Apparatus for the preparation of samples includes two image furnaces for floating zone growth, single-crystal growth vacuum furnaces, box and tube furnaces, arc furnaces, several high vacuum and ultra-high vacuum chambers for thin film fabrication using evaporation, MBE, pulsed laser deposition, sputtering, and focused ion beam (FIB) milling. Also available on campus are cutting-edge transmission electron microscopes and scanning electron microscopes.

In astrophysics, research groups have state-of-the-art laboratories for testing cryogenic transition-edge bolometer detectors with SQUID read-out electronics, and closed-cycle helium crogenics. Recent instrumentation advances include the design and manufacture of large free-standing polarization grids and novel high-bandwidth smooth-wall feed horns. Current activities include development of microwave and millimeter-wave instruments for far-infrared and microwave astronomy and cosmology.

The research groups in the department have a wide range of state-of-the-art computer facilities including high performance clusters with over a thousand processors and the largest database at a university—over a petabyte. All undergraduate majors and graduate students have access to high performance workstations.

**Financial Aid**

Students in good standing are normally supported by a combination of fellowships, research assistantships and teaching assistantships. The financial package covers full tuition, individual health insurance, and an academic year salary commensurate with that of other leading research institutions. Teaching assistantship is a common mode of financial support; experience in teaching is a valuable part of the Ph.D. program. A teaching assistantship supports the student during the academic year and is supplemented by a research assistantship during the summer. The assistant is expected to help in the teaching of the general physics course and other introductory and major courses. The typical teaching duties include leading a problem-solving section or laboratory exercises and homework grading. Research assistantships are based on the availability of funding to the research advisor and are arranged directly with him/her. Research assistantships provide an opportunity for deep engagement in ongoing experimental or theoretical research. In addition, the department and the University offer several fellowships on a competitive basis, some covering travel, supplies or research expenses and some covering a semester’s or a year’s worth of the entire financial package. Some students are supported by external fellowships, such as the pre-doctoral fellowship of the National Science Foundation.

All fellows and teaching and research assistants in the Department of Physics and Astronomy register as full-time students and thus fulfill their residence requirements while holding appointments. Loans and work-study arrangements are available from the Office of Financial Aid.

For current course information and registration go to https://sis.jhu.edu/classes/

### Courses

**AS.171.101. General Physics:Physical Science Major I. 4.00 Credits.**

Lectures on general principles illustrated by experiments provide a thorough introductory study of physics. Conference periods, assigned in the first class, offer more detailed discussion of principles and the solution of problems. Students are required to take General Physics Laboratory concurrently with the course. The first term covers mechanics and thermodynamics. The second term addresses electricity and magnetism, optics, and selected topics in modern physics. Note: Students taking this course and the laboratory 173.111-112 may not take any other course in the summer session and should devote full time to these subjects. First and second terms must be taken in sequence.

Instructor(s): B. Barnett

Area: Engineering, Natural Sciences.

**AS.171.102. General Physics: Physical Science Majors II. 4.00 Credits.**

Second semester of a two-semester sequence in general physics covers mechanics, heat, sound, electricity and magnetism, optics, and atomic physics. Midterm exams for every section are given during the 8 AM section time! Accordingly, students registering for sections at times other than 8 AM must retain availability for 8 AM sections as needed. Recommended Course Background: A grade of C- or better in either Physics I or the first semester of Intro to Mechanics I ( AS.171.101 OR AS.171.103 OR AS.171.105 OR AS.171.107 OR EN.530.103 )**Prerequisites: A grade of C- or better in either Physics 1 or the two-semester sequence of Engineering Mechanics: AS.171.101 OR AS.171.103 OR AS.171.105 OR AS.171.107 OR EN.530.103**

Instructor(s): C. Broholm; M. Robbins

Area: Engineering, Natural Sciences.

**AS.171.103. General Physics I for Biological Science Majors. 4.00 Credits.**

First-semester of two-semester sequence in calculus-based general physics, tailored to students majoring in one of the biological sciences. In this term, the topics covered include the basic principles of classical mechanics and fluids as well as an introduction to wave motion. Recommended Corequisites: (AS.173.111) AND (AS.110.106 or AS.110.108 or AS.110.113).
Midterm exams are given at 8am Tuesdays, so students must leave their schedules open at this time in order to be able to take these exams

Instructor(s): C. Broholm

Area: Engineering, Natural Sciences.

**AS.171.104. General Physics/Biology Majors II. 4.00 Credits.**

This two-semester sequence is designed to present a standard calculus-based physics preparation tailored to students majoring in one of the biological sciences. Topics in electricity & magnetism, optics, and modern physics will be covered in this semester. Midterm exams for every section are given during the 8 AM section time! Accordingly, students registering for sections at times other than 8 AM must retain availability for 8 AM sections as needed. Recommended Course Background: C- or better in AS.171.101 or AS.171.103; Corequisite: AS.110.109, AS 173.112.

Instructor(s): N. Armitage; T. Heckman

Area: Engineering, Natural Sciences.

**AS.171.105. Classical Mechanics I. 4.00 Credits.**

An in-depth introduction to classical mechanics intended for physics majors/minors and other students with a strong interest in physics. This course treats fewer topics than AS.171.101 and AS.171.103 but with greater mathematical sophistication. It is particularly recommended for students who intend to take AS.171.201-AS.171.202 or AS.171.309-AS.171.310. Recommended Corequisites: AS.173.115 and AS.110.108

Instructor(s): D. Reich

Area: Engineering, Natural Sciences.

**AS.171.106. Electricity and Magnetism I. 4.00 Credits.**

Classical electricity and magnetism with fewer topics than 171.101-103, but with greater mathematical sophistication. Particularly recommended for students who plan to take AS.171.201-AS.171.202. Recommended Course Background: C- or better in AS.171.105; Corequisite: AS.173.116, AS.110.109

Instructor(s): C. Bennett

Area: Engineering, Natural Sciences.

**AS.171.107. General Physics for Physical Sciences Majors (AL). 4.00 Credits.**

This two-semester sequence in general physics is identical in subject matter to AS.171.101-AS.171.102, covering mechanics, heat, sound, electricity and magnetism, optics, and modern physics, but differs in instructional format. Rather than being presented via lectures and discussion sections, it is instead taught in an active learning style with most class time given to small group problem-solving guided by instructors. Midterm exams for every section are given during the 8 AM section time! Accordingly, students registering for sections at times other than 8 AM must retain availability for 8 AM sections as needed. Recommended Corequisites: (AS.173.111) AND (AS.110.106 or AS.110.108 or AS.110.113)
Priority given to Freshman

Instructor(s): R. Leheny; R. Wyse

Area: Engineering, Natural Sciences.

**AS.171.108. General Physics for Physical Science Majors (AL). 4.00 Credits.**

This two-semester sequence in general physics is identical in subject matter to AS.171.101-AS.171.102, covering mechanics, heat, sound, electricity and magnetism, optics, and modern physics, but differs in instructional format. Rather than being presented via lectures and discussion sections, it is instead taught in an active learning style with most class time given to small group problem-solving guided by instructors. Priority in registration will be given to freshmen.
Recommended Course Background: A grade of C- or better in either Physics I or the first semester of Engineering Mechanics ( AS.171.101 OR AS.171.103 OR AS.171.105 OR AS.171.107 OR EN.530.103 )**Prerequisites: Corequisite: ( AS.110.107 OR AS.110.109 OR AS.110.211 OR AS.110.113)**

Instructor(s): D. Reich; P. Maksimovic

Area: Engineering, Natural Sciences.

**AS.171.113. Subatomic World. 3.00 Credits.**

Introduction to the concepts of physics of the subatomic world: symmetries, relativity, quanta, neutrinos, particles and fields. The course traces the history of our description of the physical world from the Greeks through Faraday and Maxwell to quantum mechanics in the early 20th century and on through nuclear physics and particle physics. The emphasis is on the ideas of modern physics, not on the mathematics. Intended for non-science majors.

Instructor(s): B. Blumenfeld

Area: Natural Sciences.

**AS.171.118. Stars and the Universe: Cosmic Evolution. 3.00 Credits.**

This course looks at the evolution of the universe from its origin in a cosmic explosion to emergence of life on Earth and possibly other planets throughout the universe. Topics include big-bang cosmology; origin and evolution of galaxies, stars, planets, life, and intelligence; black holes; quasars; and relativity theory. The material is largely descriptive, based on insights from physics, astronomy, geology, chemistry, biology, and anthropology. Course website: http://henry.pha.jhu.edu/stars.html. Recommended Course Background: High school, algebra, geometry, trigonometry.

Instructor(s): A. Riess

Area: Natural Sciences.

**AS.171.120. Physics of Modern Technologies. 3.00 Credits.**

This course for non-scientists offers accessible non-mathematical explanations of modern technologies: electric power generation and distribution (AC versus DC), florescent lighting, lasers, computers, the internet, GPS, and student suggested topics.

Instructor(s): J. Walker

Area: Natural Sciences.

**AS.171.123. How to build an iPhone: physics in modern life. 3.00 Credits.**

As the famous author Arthur C. Clarke posited, “Any sufficiently advanced technology is indistinguishable from magic.” The goal of this course is to understand the workings of and the science behind modern technologies such as the iPhone, internet, GPS, and others. We will discuss the technology itself, as well as the story of how it came to be and the people involved. Emphasis will be on the ideas behind these technologies, not the mathematics. Intended for both nonscience and science majors, every attempt will be made to keep any math at the level of simple algebra.

Instructor(s): C. Morris; L. Pan

Area: Natural Sciences.

**AS.171.125. It's not magic, it's physics: Extraordinary Experiments. 3.00 Credits.**

Students will learn key concepts of everyday physics through experimentation. They will design, build, and run experiments themselves. The course will be graded on participation and a graded final presentation.

Instructor(s): M. Valdivia Leiva

Area: Natural Sciences.

**AS.171.127. Freshman Seminar: The Unsolved Mysteries of the Cosmos. 3.00 Credits.**

While our knowledge of the universe has expanded greatly over the past century, there are some very basic problems that stump astronomers to this very day. In this course, we will explore some of the unsolved mysteries that astronomers are actively working on, including the formation of planets to the composition of the universe. This course will be a freshman seminar directed towards non-physical science majors. The focus will be on qualitative questions and phenomena rather than numerical details.

Instructor(s): M. Rahman.

**AS.171.131. Physics and Technology in Society. 3.00 Credits.**

This course presents technology and science issues and how they shape public policy. Students will learn how institutions carry out scientific research while exploring the interactions between the scientific community and policy makers.

Instructor(s): M. Valdivia Leiva

Area: Natural Sciences.

**AS.171.132. Mini-Term I: Now I See! Optical Phenomena Explained. 1.00 Credit.**

Could you explain why rainbows form an arc or how it is possible to bend light to make an object invisible? This course aims to clearly explain some of the most beautiful optical phenomena encountered in nature or in a lab by teaching simple physics principles and using in-class demonstrations. The course is not math intensive and, rather, seeks to help the student gain an appreciation for the basic principles behind these optical effects without becoming lost in complex mathematics. An emphasis will be placed on current research that directly makes use of the physics underlying the phenomena. The ultimate goal of this course is to show students that physics is powerfully beautiful and to build their appreciation for it.

Instructor(s): G. Bosse

Area: Natural Sciences.

**AS.171.133. Black Holes and Other Compact Objects: For Non-Majors. 3.00 Credits.**

This is a lecture and discussion course aimed at undergraduate students who are not physics and astronomy majors. The topic of the lectures will be a basic overview of the qualitative properties of and historical work on compact astrophysical objects (such as black holes, neutron stars, white dwarfs) and related phenomena.

Instructor(s): J. Bankert

Area: Natural Sciences.

**AS.171.201. Special Relativity/Waves. 4.00 Credits.**

Course continues introductory physics sequence (begins with AS.171.105-AS.171.106). Special theory of relativity, forced and damped oscillators, Fourier analysis, wave equation, reflection and transmission, diffraction and interference, dispersion. Meets with AS.171.207.**Prerequisites: Corequisite: AS.110.202 OR AS.110.211;Students must have completed Lab Safety training prior to registering for this class.;( AS.171.106 OR AS.171.108 OR AS.171.102 OR AS.171.104 ) AND Calculus II ( AS.110.107 OR AS.110.109 OR AS.110.113 )**

Instructor(s): N. Zakamska

Area: Engineering, Natural Sciences.

**AS.171.202. Modern Physics. 4.00 Credits.**

Course completes four-semester introductory sequence that includes AS.171.105-AS.171.106 and AS.171.201. Planck’s hypothesis, de Broglie waves, Bohr atom, Schrodinger equation in one dimension, hydrogen atom, Pauli exclusion principle, conductors and semiconductors, nuclear physics, particle physics.

Instructor(s): F. Serra

Area: Natural Sciences.

**AS.171.204. Classical Mechanics II. 4.00 Credits.**

Principles of Newtonian and Lagrangian mechanics; application to central-force motion, rigid body motion, and the theory of small oscillations. Recommended Course Background: AS.110.108 and AS.110.109, AS.110.202, AS.171.201, or AS.171.309. AS.110.201 or equivalent is strongly recommended.**Prerequisites: Pre-req: AS.110.302 or equivalent.**

Instructor(s): B. Blumenfeld

Area: Natural Sciences.

**AS.171.205. Introduction to Practical Data Science: Beautiful Data. 3.00 Credits.**

The class will provide an overview of data science, with an introduction to basic statistical principles, databases, fundamentals of algorithms and data structures, followed by practical problems in data analytics. Recommend Course Background: Familiarity with principles of computing.

Instructor(s): S. Szalay

Area: Natural Sciences, Quantitative and Mathematical Sciences.

**AS.171.207. Special Relativity. 1.00 Credit.**

Three-week introduction to special relativity for students who elect to take AS.171.209 in place of AS.171.201.**Prerequisites: Corequisite: AS.110.202 OR AS.110.211;Prerequisite: (AS.171.106 preferred OR AS.171.108 OR AS.171.102 OR AS.171.104) AND (AS.110.107 OR AS.110.109 OR AS.110.113)**

Instructor(s): N. Zakamska

Area: Natural Sciences.

**AS.171.301. Electromagnetic Theory II. 4.00 Credits.**

Static electric and magnetic fields in free space and matter; boundary value problems; electromagnetic induction; Maxwell’s equations; and an introduction to electrodynamics.**Prerequisites: Prereqs: ( AS.171.102 OR AS.171.104 OR AS.171.106 OR AS.171.108 ) AND Calculus III ( AS.110.202 OR AS.110.211 ) AND Linear Algebra ( AS.110.201 OR AS.110.212 )**

Instructor(s): A. Gritsan

Area: Natural Sciences.

**AS.171.303. Quantum Mechanics I. 4.00 Credits.**

Fundamental aspects of quantum mechanics. Uncertainty relations, Schrodinger equation in one and three dimensions, tunneling, harmonic oscillator, angular momentum, hydrogen atom, spin, Pauli principle, perturbation theory (time-independent and time-dependent), transition probabilities and selection rules, atomic structure, scattering theory. Recommended Course Background: AS.110.302 or AS.110.306.**Prerequisites: ( AS.171.202 AND AS.171.204 ) AND ( AS.110.201 OR AS.110.212 ) AND ( AS.110.202 OR AS.110.211 )**

Instructor(s): C. Chien

Area: Natural Sciences.

**AS.171.304. Quantum Mechanics II. 4.00 Credits.**

Fundamental aspects of quantum mechanics. Uncertainty relations, Schrodinger equation in one and three dimensions, tunneling, harmonic oscillator, angular momentum, hydrogen atom, spin, Pauli principle, perturbation theory, transition probabilities and selection rules, atomic structure, scattering theory. Recommended Course Background: AS.171.303, AS.171.202, AS.171.204, AS.110.202.

Instructor(s): Y. Li

Area: Natural Sciences.

**AS.171.309. Wave Phenomena with Biophysical Application. 4.00 Credits.**

Introduction to wave phenomena, primarily through study of biophysical probes that depend on the interaction of electromagnetic radiation with matter. Topics include Fourier Analysis; standing waves; sound and hearing; diffraction and crystallography; geometrical and physical optics – the physics of modern light microscopy; quantum mechanics – how living things absorb light; NMR and MRI. Occasional laboratory exercises are included.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): D. Reich

Area: Natural Sciences.

**AS.171.310. Biological Physics. 4.00 Credits.**

Introduces topics of classical statistical mechanics. Additional topics include low-Reynolds number hydrodynamics and E&M of ionic solutions, via biologically relevant examples.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.;( AS.171.106 OR AS.171.108 OR AS.171.102 OR AS.171.104 ) AND ( AS.110.107 OR AS.110.109 OR AS.110.113 )**

Instructor(s): M. Robbins

Area: Natural Sciences.

**AS.171.312. Statistical Physics/Thermodynamics. 4.00 Credits.**

Undergraduate course that develops the laws and general theorems of thermodynamics from a statistical framework.**Prerequisites: AS.171.202 and Calculus II ( AS.110.107 or AS.110.109 or AS.110.113 ). It is recommended that students have also taken Quantum Mechanics (AS.171.303), Linear Algebra (AS.110.201 or AS.110.212) and Calculus III (AS.110.202 or AS.110.211)**

Instructor(s): N. Armitage

Area: Natural Sciences.

**AS.171.313. Introduction to Stellar Physics. 3.00 Credits.**

Survey of stellar astrophysics. Topics include stellar atmospheres, stellar interiors, nucleosynthesis, stellar evolution, supernovae, white dwarfs, neutron stars, pulsars, black holes, binary stars, accretion disks, protostars, and extrasolar planetary systems. Recommended Course Background: AS.110.108-AS.110.109, AS.171.202

Instructor(s): R. Wyse

Area: Natural Sciences.

**AS.171.314. Introduction to Galaxies and Active Galactic Nuclei. 3.00 Credits.**

This course will introduce student to the physics of galaxies and their constituents: stars, gas, dust, dark matter and a supermassive black hole in the central regions.**Prerequisites: AS.171.105 AND AS.171.106 AND AS.110.108 AND AS.110.109**

Instructor(s): R. Wyse

Area: Natural Sciences.

**AS.171.321. Introduction to Space, Science, and Technology. 3.00 Credits.**

Topics include space astronomy, remote observing of the earth, space physics, planetary exploration, human space flight, space environment, orbits, propulsion, spacecraft design, attitude control and communication. Crosslisted by Departments of Earth and Planetary Sciences, Materials Science and Engineering and Mechanical Engineering. Recommended Course Background: AS.171.101-AS.171.102 or similar; AS.110.108-AS.110.109.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): J. MacKenty; S. McCandliss

Area: Engineering, Natural Sciences.

**AS.171.323. Physics of Human Energy Use. 3.00 Credits.**

Course explores the basic nature of energy and heat, the physical principles underlying how we derive energy from various sources (fossil fuels, nuclear power, solar energy, and others), and the physics of energy production’s environmental consequences.

Instructor(s): J. Krolik

Area: Natural Sciences.

**AS.171.333. Planets, Life and the Universe. 3.00 Credits.**

This multidisciplinary course explores the origins of life, planets’ formation, Earth's evolution, extrasolar planets, habitable zones, life in extreme environments, the search for life in the Universe, space missions and planetary protection.
Co-listed with AS.020.334, AS.020.616 and AS.270.335**Prerequisites: Students may not register for this class if they have already received credit for AS.020.334 or AS.270.335.**

Instructor(s): C. Norman; J. Diruggiero; N. Levin

Area: Engineering, Natural Sciences.

**AS.171.405. Condensed Matter Physics. 3.00 Credits.**

Undergraduate course covering basic concepts of condensed matter physics: crystal structure, diffraction and reciprocal lattices, electronic and optical properties, band structure, phonons, superconductivity and magnetism. Co-listed with AS.171.621
Recommended Course Background: AS.171.304, AS.110.201-AS.110.202.

Instructor(s): O. Tchernyshyov

Area: Natural Sciences.

**AS.171.406. Condensed Matter Physics. 3.00 Credits.**

Instructor(s): C. Broholm

Area: Natural Sciences.

**AS.171.408. Nuclear and Particle Physics. 3.00 Credits.**

Basic properties of nuclei, masses, spins, parity. Nuclear scattering, interaction with electromagnetic radiation, radioactivity, Pions, muons, and elementary particles, including resonances.
Recommended Course Background: AS.171.303

Instructor(s): M. Swartz

Area: Natural Sciences.

**AS.171.410. Physical Cosmology. 3.00 Credits.**

This course provides an overview of modern physical cosmology. Topics covered include: the contents, shape, and history of the universe; the big bang theory; dark matter; dark energy; the cosmic microwave background; Hubble's law; the Friedmann equation; and inflation.
Recommended Course Background: (AS.171.101-AS.171.102), or (AS.171.103-AS.171.104), or (AS.171.105-AS.171.106), or (AS.171.107-AS.171.108), or equivalent.

Instructor(s): C. Bennett

Area: Natural Sciences.

**AS.171.411. Light and Optics. 3.00 Credits.**

What is light? How does it propagate and interact with matter? How do we use it to transmit information? How does technology make use of light? This course is designed for majors in physics as well as other science and engineering departments.**Prerequisites: AS.171.106**

Instructor(s): B. Menard

Area: Engineering, Natural Sciences.

**AS.171.413. Magnetic Materials and Spintronics. 3.00 Credits.**

Explore magnetic materials, the results of interactions of spin and charge of electrons, and spintronic phenomena, such as interlayer coupling, giant magnetoresistance, spin tunneling, spin transfer torque, spin Hall effect.**Prerequisites: AS.171.202 and AS.171.301**

Instructor(s): C. Chien

Area: Natural Sciences, Quantitative and Mathematical Sciences.

**AS.171.416. Numerical Methods for Physicists. 4.00 Credits.**

Instructor(s): C. Norman

Area: Natural Sciences, Quantitative and Mathematical Sciences.

**AS.171.426. Practical Scientific Analysis of Big Data. 3.00 Credits.**

Students will learn to work with databases, write parallel analysis code with emphasis on Graphics Processing Units (CUDA), and explore new approaches to data processing, namely streaming and robust statistics. Students should have basic knowledge of C/C++ and Introduction Numerical Methods.
Co-taught with AS.171.628

Instructor(s): T. Budavari

Area: Natural Sciences, Quantitative and Mathematical Sciences.

**AS.171.472. Introduction to Plasma Physics & Atomic Processes in Hot Plasmas. 3.00 Credits.**

Course will be a combination between an introduction to plasma physics and an overview of the basic atomic processes which determine the properties of hot, laboratory and astrophysical plasmas. Undergraduate students may register online for this course and will be assigned 3 credits during the add/drop period. Co-taught with AS.171.672

Instructor(s): M. Finkenthal

Area: Natural Sciences.

**AS.171.501. Independent Research- Undergraduate. 3.00 Credits.**

Students may register for independent research with a faculty member in the Department of Physics and Astronomy. A research plan should be sent to the Director of Undergraduate Study before the add/drop date that includes project details, the number of hours of effort each week and the number of credits. This course may not be used for one of the two electives required for a BA, but one semester of research may be used as one of four focused electives in a BS program.

Instructor(s): Staff.

**AS.171.502. Undergraduate Independent Research. 0.00 - 3.00 Credits.**

Research done in senior year in conjunction with experimental equipment of intermediate laboratory or as special project in research group. Credit for independent study given to junior and senior students who act as tutors.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): Staff.

**AS.171.503. Senior Thesis. 3.00 Credits.**

Preparation of a substantial thesis based upon independent student research, supervised by at least one faculty member in Physics and Astronomy. This course may only be taken for credit during one semester. However, students are expected to have engaged in their research project during previous semesters through 171.501-502, summer research, etc. This course may not be used as one of the two electives required for a BA, but can be used as one of the four focused electives in a BS program. Open to senior department majors only.

Instructor(s): N. Markovic; R. Wyse; T. Marriage

Writing Intensive.

**AS.171.504. Senior Thesis. 0.00 - 3.00 Credits.**

Preparation of a substantial thesis based upon independent student research, supervised by at least one faculty member in Physics and Astronomy.

Instructor(s): O. Tchernyshyov; R. Leheny; T. Marriage

Writing Intensive.

**AS.171.595. Internship. 1.00 Credit.**

Instructor(s): Staff.

**AS.171.597. Independent Research. 3.00 Credits.**

Instructor(s): Staff.

**AS.171.602. Order of Magnitude Physics. **

Using basic physics---order of magnitude estimates, scaling arguments, and similar devices---to understand the gist of complicated natural systems. Examples will be selected from properties of materials, geophysics, weather, astrophysics, cosmology, biomechanics, technology of various sorts, etc. Open to upper-level undergraduates and graduates.

Instructor(s): J. Krolik

Area: Natural Sciences.

**AS.171.603. Electromagnetic Theory. **

Theory of the Maxwell equations, with static and dynamic applications, boundary-value problems, guided and free waves, diffraction, scattering, special relativity, electron theory.

Instructor(s): J. Krolik.

**AS.171.604. Electromagnetic Theory. **

Theory of the Maxwell equations, with static and dynamic applications, boundary-value problems, guided and free waves, diffraction, scattering, special relativity, electron theory.

Instructor(s): G. Domokos.

**AS.171.605. Quantum Mechanics. **

Review of wave mechanics and the Schrodinger equation, Hilbert space, harmonic oscillator, the WKB approximation, central forces and angular momentum, scattering, electron spin, density matrix, perturbation theory (time-independent and time-dependent), quantized radiation field, absorption and emission of radiation, identical particles, second quantization, Dirac equation.

Instructor(s): M. Kamionkowski.

**AS.171.606. Quantum Mechanics. **

Review of wave mechanics and the Schrodinger equation, Hilbert space, harmonic oscillator, the WKB approximation, central forces and angular momentum, scattering, electron spin, density matrix, perturbation theory (time -independent and time - dependent), quantized radiation field, absorption and emission of radiation, identical particles, second quantization, Dirac equation. Recommended Course Background: AS.171.303 and AS.171.304

Instructor(s): D. Kaplan.

**AS.171.610. Numerical Methods-Physics. **

Topics in applied mathematics used by physicists, covering numerical methods: linear problems, numerical integration, pseudo-random numbers, finding roots of nonlinear equations, function minimization, eigenvalue problems, fast Fourier transforms, solution of both ordinary and partial differential equations. Undergraduate students may register online for this course and will be assigned 3 credits during the add/drop period.

Instructor(s): C. Norman.

**AS.171.611. Stellar Structure & Evolution. **

Basic physics of stellar structure and evolution will be discussed with emphasis on current research.

Instructor(s): D. Neufeld.

**AS.171.612. Interstellar Medium and Astrophysical Fluid Dynamics. **

Instructor(s): D. Neufeld.

**AS.171.613. Radiative Astrophysics. **

A one-term survey of the processes that generate radiation of astrophysical importance. Topics include radiative transfer, the theory of radiation fields, polarization and Stokes parameters, radiation from accelerating charges, bremsstrahlung, synchrotron radiation, thermal dust emission, Compton scattering, properties of plasmas, atomic and molecular quantum transitions, and applications to astrophysical observations.

Instructor(s): T. Marriage.

**AS.171.615. Galactic Structure and Stellar Dynamics. **

Potential theory; stellar orbits, equilibrium of collisionless systems; stability of collisionless systems; disk dynamics and spiral structure; galactic rotation and the galactic potential; globular cluster evolution.

Instructor(s): B. Menard; N. Zakamska.

**AS.171.617. Extragalactic Astronomy. **

Establishing the extragalactic distance scale; kinematics of an expanding universe; light element nucleosynthesis; formation of the microwave background. Clusters of galaxies. The Hubble sequence and inventory of internal galactic structures: bulges, disks, star clusters; measurements of distance within the galaxy; stellar kinematics; stellar populations; chemical evolution.

Instructor(s): T. Marriage.

**AS.171.618. Observational Astronomy. **

How do we observe the Universe at each wavelength and what do we see? This course will present the knowledge required for astronomical observations across the entire spectrum. For each wavelength range (gamma rays, X-rays, UV, visible, IR, radio) we will discuss the type
of detector used, the range of possible observations and current open questions. We will also discuss the dominant astronomical and terrestrial sources across the spectrum, and study the differences between ground- and space-based observations.

Instructor(s): B. Menard.

**AS.171.619. Molecular Astrophysics. **

An advanced graduate level course that emphasizes the importance of molecules in astrophysical environments as diverse as interstellar clouds, circumstellar outflows, cometary comae, and active galactic nuclei. Topics will include the chemistry and photochemistry of astrophysical molecules; molecular excitation; astrophysical masers; interstellar molecular clouds; interstellar shock waves; circumstellar outflows; cometary comae; molecular accretion disks.

Instructor(s): D. Neufeld.

**AS.171.621. Condensed Matter Physics. **

This sequence is intended for graduate students in physics and related fields. Topics include: metals and insulators, diffraction and crystallography, phonons, electrons in a periodic potential, transport.
Co-listed with AS.171.405

Instructor(s): O. Tchernyshyov.

**AS.171.622. Condensed Matter Physics. **

This sequence is intended for graduate students in physics and related fields. Topics include superconductivity, magnetism, metal-insulator transitions, low dimensional materials, quantized hall effect.

Instructor(s): C. Broholm.

**AS.171.625. Experimental Particle Physics. **

For graduate students interested in experimental particle physics, or theory students, or students from other specialties. Subjects covered: experimental techniques, including particle beams, targets, electronics, and various particle detectors; and a broad description of high energy physics problems. Undergraduate students may register online for this course and will be assigned 3 credits during the add/drop period.

Instructor(s): M. Swartz.

**AS.171.626. Data Analysis: Theory & Practice. **

Half theory, half practice with real data: signal/noise estimation, object detection, match filtering, bayesian techniques, principal component analysis, dimensionality reduction, data compression, outlier detection, parameter estimation, pattern recognition, visualization, clustering, tree codes, etc.

Instructor(s): B. Menard.

**AS.171.627. Astrophysical Dynamics. **

This is a graduate course that covers the fundamentals of galaxy formation, galactic structure and stellar dynamics and includes topics in current research.

Instructor(s): N. Zakamska.

**AS.171.628. Practical Scientific Analysis of Big Data. **

Students will learn to work with databases, write parallel analysis code with emphasis on Graphics Processing Units (CUDA), and explore new approaches to data processing, namely streaming and robust statistics. Students should have basic knowledge of C/C++ and Introduction Numerical Methods.
Co-taught with AS.171.426

Instructor(s): T. Budavari.

**AS.171.629. First Year Research. **

Instructor(s): B. Menard; P. Maksimovic.

**AS.171.630. First Year Research. **

Instructor(s): P. Maksimovic.

**AS.171.633. Graphics Processor Programming in CUDA. **

The course will cover parallel computing on modern general-purpuse graphics processors. Graduate students will learn to design and implement scientific problems in C for CUDA, the Compute Unified Device Architecture. Students should have basic knowledge of C/C++. Co-taught with AS.171.426 and AS.171.628.

Instructor(s): T. Budavari.

**AS.171.636. Modeling Matter Across Multiple Length & Time Scales. **

Many physical phenomena are difficult to model because they involve coupled processes on a wide range of length and time scales. This course will cover recent developments in multiscale methods for such phenomena. One focus will be hierarchical methods for coarse-graining models to fewer degrees of freedom. Atomistic simulations may be used to construct molecular models, phase-field models or continuum models. A second focus will be methods for concurrently simulating different regions of space with different levels of spatial and temporal resolution. For example, interfacial regions or
regions of high strain gradient may require different physical models and resolutions. Recommended Course Background: Course in Condensed Matter Physics, Statistical Mechanics, EN.550.695, or permission of the instructor.

Instructor(s): M. Robbins.

**AS.171.641. Second Year Research. **

Instructor(s): B. Menard; P. Maksimovic.

**AS.171.642. Second Year Research. **

Instructor(s): P. Maksimovic.

**AS.171.644. Exoplanets and Planet Formation. **

A graduate-level introduction to the properties of the solar system, the known exoplanet systems, and the astrophysics of planet formation and evolution. Topics also include the fundamentals of star formation, protoplanetary disk structure and evolution, exoplanet detection techniques, and the status of the search for other Earths in the Galaxy. Upper-level undergraduates may enroll with the permission of the instructor.

Instructor(s): K. Schlaufman.

**AS.171.646. General Relativity. **

An introduction to the physics of general relativity. Principal topics are: physics in curved spacetimes; the Equivalence Principle; the Einstein Field Equations; the post-Newtonian approximation and Solar System tests; the Schwarzschild and Kerr solutions of the Field Equations and properties of black holes; Friedmann solutions and cosmology; and gravitational wave propagation and generation.

Instructor(s): D. Kaplan

Area: Natural Sciences.

**AS.171.672. Introduction Plasma Physics. **

Course will be a combination between an introduction to plasma physics and an overview of the basic atomic processes which determine the properties of hot, laboratory and astrophysical plasmas. Undergraduate students may register online for this course and will be assigned 3 credits during the add/drop period. Co-taught with AS.171.472

Instructor(s): M. Finkenthal.

**AS.171.697. Astro-Particle Physics. **

Topics include: Dark matter, dark energy, ultra-high energy cosmic rays, neutrino astrophysics, black holes, WIMPS, sterile neutrinos, axions, gamma ray bursts, particle acceleration, cosmic backgrounds, dark energy equation- of- state. Senior undergraduates with permission.

Instructor(s): M. Kamionkowski.

**AS.171.699. Planets, Life and the Universe. **

This multidisciplinary course explores the origins of life, planets’ formation, Earth's evolution, extrasolar planets, habitable zones, life in extreme environments, the search for life in the Universe, space missions and planetary protection. Graduate students only. Meets with AS.171.333.

Instructor(s): C. Norman.

**AS.171.701. Quantum Field Theory. **

Introduction to relativistic quantum mechanics and quantum field theory. Canonical quantization; scalar, spinor, and vector fields; scattering theory; renormalization; functional integration; spontaneous symmetry breaking; Standard Model of particle physics.

Instructor(s): J. Kaplan.

**AS.171.702. Quantum Field Theory II. **

Introduction to relativistic quantum mechanics and quantum field theory. Recommended Course Background: AS.171.605-AS.171.606 or equivalent.

Instructor(s): J. Kaplan.

**AS.171.703. Advanced Statistical Mechanics. **

Brief review of basic statistical mechanics and thermodynamics. Then hydrodynamic theory is derived from statistical mechanics and classical treatments of phase transitions, including Ginzburg-Landau theory.

Instructor(s): R. Leheny.

**AS.171.704. Phase Transitions and Critical Phenomena. **

Course covers phase transitions and critical phenomena. Building on the ideas of spontaneous symmetry breaking and scale invariance at a critical point we develop Landau’s theory of phase transitions and the apparatus of renormalization group using both analytic and numerical techniques for studying interacting systems.

Instructor(s): O. Tchernyshyov.

**AS.171.713. Magnetic Materials and Spintronics. **

Explore magnetic materials, the results of interactions of spin and charge of electrons, and spintronic phenomena, such as interlayer coupling, giant magnetoresistance, spin tunneling, spin transfer torque, spin Hall effect.

Instructor(s): C. Chien.

**AS.171.732. Elementary Particle Physics. **

Description TBA

Instructor(s): M. Swartz.

**AS.171.750. Cosmology. **

Review of special relativity and an introduction to general relativity, Robertson-Walker metric, and Friedmann equation and solutions. Key transitions in the thermal evolution of the universe, including big bang nucleosynthesis, recombination, and reionization. The early universe (inflation), dark energy, dark matter, and the cosmic microwave background. Development of density perturbations, galaxy formation, and large-scale structure.

Instructor(s): C. Bennett.

**AS.171.751. Neutron Scattering and Quantum Condensed Matter Physics. **

Introduction to the use of neutron scattering techniques to probe atomic scale structure and dynamics of hard condensed matter. Subjects covered include basic theory of nuclear and magnetic neutron scattering, neutron sources and instrumentation, polarized neutrons, Larmor labeling, structural refinement methods, surfaces and interfaces, group theoretical analysis of magnetic structures, phonons, magnetic excitations, and critical phenomena.**Prerequisites: AS.171.621 OR AS.171.622**

Instructor(s): C. Broholm.

**AS.171.752. Black Hole Astrophysics. **

Black holes are the central engines for a wide variety of astrophysical objects: Galactic X-ray sources, active galactic nuclei, stellar tidal disruptions, and the black hole mergers that are the only directly-detected gravitational wave sources (as of this writing). Although the mass distribution of astrophysical black holes spans at least eight orders of magnitude and their circumstances can vary tremendously, the physical processes relevant to them are often closely related. This class will present the most important of them: relativistic orbits; accretion dynamics, the structure of accretion flows, and their radiation mechanisms; relativistic jet launching; binary black hole dynamics and gravitational wave radiation.

Instructor(s): J. Krolik.

**AS.171.755. Fourier Optics and Interferometry in Astronomy. **

A course for advanced undergraduate and beginning graduate students covering the principles of optics and image formation using Fourier Transforms, and a discussion of interferometry and other applications both in radio and optical astronomy.

Instructor(s): R. Allen.

**AS.171.756. Astrophysics of Compact Objects. **

A graduate-level course devoted to the physical understanding of black holes, white dwarfs, neutron stars and associated objects. Many astrophysical observations will be discussed where these objects may be relevant including galactic nuclei, quasars, compact X-ray sources and gamma-ray bursts.

Instructor(s): M. Kamionkowski.

**AS.171.762. Advanced Condensed Matter. **

This course is designed for graduate students interested in learning the language, techniques, and problematic of modern quantum many-body theory as applied to condensed matter physics.

Instructor(s): O. Tchernyshyov.

**AS.171.783. Advanced Particle Theory. **

**AS.171.784. Advanced Quantum Field Theory. **

The course will focus on scenarios and principles for new particle physics that can be tested at the CERN Large Hadron Collider and other particle experiments.

Instructor(s): D. Kaplan.

**AS.171.801. Independent Research- Graduates. **

Sec. 03 Swartz, Morris
Sec. 04 Chien, Chia-ling
Sec. 05 Kamionkowski
Sec. 06 Reich
Sec. 07 McCandliss
Sec. 08 Krolik
Sec. 10 Norman
Sec. 11 Blumenfeld
Sec. 12 Heckman
Sec. 14 Szalay
Sec. 15 Ford
Sec. 16 Drichko
Sec. 17 Wyse
Sec. 18 Vishniac
Sec. 19 Neufeld
Sec. 20 Turner
Sec. 21 Blair
Sec. 22 Robbins
Sec. 23 Kaiser
Sec. 24 Broholm
Sec 25 Bianchi
Sec. 26 Zakamska
Sec. 27 Kaplan, David
Sec. 28 Finkenthal
Sec. 29 Leheny
Sec. 31 Tchernyshyov
Sec. 32 Bennett
Sec. 33 Kaplan, Jared
Sec. 34 Gritsan
Sec. 35 Armitage
Sec. 36 Maksimovic
Sec. 37 Riess
Sec. 38 Marriage
Sec. 39 Menard
Sec. 40 McQueen

Instructor(s): Staff.

**AS.171.802. Independent Research-Graduate. **

Sec. 03 - Swartz, Morris
Sec. 04 - Chien, Chia-ling
Sec. 05 - Kamionkowski
Sec. 06 - Reich
Sec. 07 - McCandiss
Sec. 08 - Krolik
Sec. 10 - Norman
Sec. 11 - Blumenfeld
Sec. 12 - Heckman
Sec. 14 - Szalay
Sec. 15 - Ford
Sec. 16 - Drichko
Sec. 17 - Wyse
Sec. 18 - Vishniac
Sec. 19 - Neufeld
Sec. 20 - Turner
Sec. 21 - Blair
Sec. 22 - Robbins
Sec. 23 - Kaiser
Sec. 24 - Broholm
Sec. 25 - Bianchi
Sec. 26 - Zakamska
Sec. 27 - Kaplan, David
Sec. 28 - Finkenthal
Sec. 29 - Leheny
Sec. 31 - Tchernyshyov
Sec. 32 - Bennett
Sec. 33 - Kaplan, Jared
Sec. 34 - Gritsan
Sec. 35 - Armitage
Sec. 36 - Maksimovic
Sec. 37 - Riess
Sec. 38 - Marriage
Sec. 39 - Menard
Sec. 40 - McQueen

Instructor(s): Staff.

**AS.172.114. Introduction To Frontier Physics. 1.00 Credit.**

Explores modern experimental methods and theoretical ideas in physics.

Instructor(s): R. Henry

Area: Natural Sciences

Writing Intensive.

**AS.172.203. Contemporary Phys Sem. 1.00 Credit.**

This seminar exposes physics majors to a broad variety of contemporary experimental and theoretical issues in the field. Students read and discuss reviews from the current literature, and are expected to make an oral or written presentation. Recommended Course Background: AS.171.101-AS.171.102, AS.171.103-AS.171.104, or AS.171.105-AS.171.106.

Instructor(s): N. Drichko

Area: Natural Sciences.

**AS.172.601. Department Colloquium. **

Instructor(s): D. Reich.

**AS.172.632. Physics Seminar. **

Intended for beginning graduate students. Study of the methods and results of modern physics and other topics of interest. Each student will discuss some phase of the subject. Graduate students only.

Instructor(s): Staff.

**AS.172.633. Language Of Astrophysics. **

Survey of the basic concepts, ideas, and areas of research in astrophysics, discussing general astrophysical topics while highlighting specialized terms often used compared to physics.

Instructor(s): D. Neufeld.

**AS.172.699. Planets, Life, and the Universe Seminar. **

During the Spring 2015 Planets Life and the Universe Seminar, we will read and discuss classic papers and (later in the semester) frontier research on the fundamental issues concerning the Origin of Life on our planet Earth and Exoplanets in general. The recent Kepler mission has now shown that are typical earth-like planets around every typical star in the Universe-- giving almost Avagadro‘s number of earthlike planets in our Universe.
The study of Life in the Universe consequently becomes an observational science. The intellectual framework underpinning these endeavors becomes one of the central intellectual issues of our age (possibly any age!).
We will have relaxed and enjoyable discussions of these topics on Friday afternoons. At times mathematical and physics based fluency will be useful.
Recommended Course Background: AS.171.333/AS.171.699 or AS.020.334/AS.020.616

Instructor(s): Staff.

**AS.172.712. Intermediate Seminar. **

Nonspecialized seminar in which second-year graduate students discuss subjects of general interest, supplementing the material of the standard courses and including recent
advances in physics.

Instructor(s): M. Swartz.

**AS.172.722. Hot Topics in Astrophysics. **

Instructor(s): C. Norman.

**AS.172.731. CAS Research Seminar. **

Instructor(s): S. McCandliss.

**AS.172.732. CAS Research Seminar. **

Instructor(s): S. McCandliss.

**AS.172.735. Galaxies Journal Club. **

Instructor(s): Staff.

**AS.172.751. Elementary Particle Physics Seminar. **

Instructor(s): A. Gritsan.

**AS.172.752. Elementary Particle Physics Seminar. **

Instructor(s): P. Maksimovic.

**AS.172.753. Advanced Particle Theory Seminar. **

Instructor(s): J. Kaplan.

**AS.172.754. Advanced Particle Theory Seminar. **

Instructor(s): J. Kaplan.

**AS.172.763. Condensed Matter Physics Seminar. **

Instructor(s): N. Armitage.

**AS.172.764. Condensed Matter. **

Instructor(s): N. Armitage.

**AS.173.111. General Physics Laboratory I. 1.00 Credit.**

Experiments performed in the lab provide further illustration of the principles discussed in General Physics. Students are required to take this course concurrently with General Physics unless they already have received credit for the lab. Note: First and second terms must be taken in sequence.

Instructor(s): C. Chien; J. Mumford

Area: Natural Sciences.

**AS.173.112. General Physics Laboratory II. 1.00 Credit.**

Experiments are chosen from both physical and biological sciences and are designed to give students background in experimental techniques as well as to reinforce physical principles. Recommended Course Background: AS.173.111; Corequisite: AS.171.102 or AS.171.104 or AS.171.108**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): C. Chien; J. Mumford

Area: Natural Sciences.

**AS.173.115. Classical Mechanics Laboratory. 1.00 Credit.**

Experiments chosen to complement the lecture course Classical Mechanics I, II AS.171.105-AS.171.106 and introduce students to experimental techniques and statistical analysis. Corequisite: AS.171.105.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): C. Chien; J. Mumford

Area: Natural Sciences.

**AS.173.116. Electricity and Magnetism Laboratory. 1.00 Credit.**

Experiments chosen to complement Electricity and Magnetism AS.171.106 and introduce students to experimental techniques and statistical analysis.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): C. Chien; J. Mumford

Area: Natural Sciences.

**AS.173.125. Understanding the World through Physics: An experimental approach. 3.00 Credits.**

Students will learn key concepts of everyday physics through experimentation. They will design, build, and run experiments themselves. The course will be graded on participation and a graded final presentation.

Instructor(s): M. Valdivia Leiva

Area: Natural Sciences.

**AS.173.308. Advanced Physics Laboratory. 3.00 Credits.**

A broad exposure to modern laboratory procedures such as holography, chaos, and atomic, molecular, and particle physics.**Prerequisites: Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): T. Marriage

Area: Natural Sciences

Writing Intensive.

**AS.173.311. Mentoring in General Physics Laboratory. 1.00 Credit.**

This course provides students who have take General Physics I and II and General Physics Laboratory I and II with the opportunity to mentor new students in General Physics Laboratory I and II. Mentors collaborate General Physics laboratory Teaching Assistants to interact with students to help them to complete laboratory assignments and to master the concepts of General Physics. Mentors must have a strong background in Physics. They are expected to interact with students during one three-hour laboratory section per week and to attend the associated TA training once per week. Permission of the instructor required. S/U only.**Prerequisites: AS.173.111 and AS.173.112;Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): C. Chien

Area: Natural Sciences.

**AS.173.312. Mentoring in General Physics Laboratory. 1.00 Credit.**

This course provides students who have to take General Physics I and II and General Physics Laboratory I and II with the opportunity to mentor new students in General Physics Laboratory I and II. Mentors collaborate General Physics laboratory Teaching Assistants to interact with students to help them to complete laboratory assignments and to master the concepts of General Physics. Mentors must have a strong background in Physics. They are expected to interact with students during one three-hour laboratory section per week and to attend the associated TA training once per week. Permission of the instructor required. S/U only.**Prerequisites: AS.173.111 AND AS.173.112;Students must have completed Lab Safety training prior to registering for this class.**

Instructor(s): C. Chien

Area: Natural Sciences.

**AS.173.608. Advanced Laboratory. **

Experiments carried out on cosmic rays, X-ray scattering Mössbauer effect, atomic beams, and optical spectroscopy.

Instructor(s): T. Marriage.

### Cross Listed Courses

#### Chemistry

**AS.030.691. Hardware, Software and Materials Chemistry. **

The course is designed to provide the essential principles and concepts underlying the modern study of the structure and properties of solids in bulk crystals, thin films, and nanoscale objects. Topics include basic crystallography, structure determination by x-ray, neutron, and electron diffraction, fundamental concepts of bonding in solids, lattice dynamics, electronic band structure, magnetism, and strongly correlated electron behavior. Particular emphasis is placed on the impact of the structure, dimensionality, and electron count on electrical and magnetic properties (electric conduction, superconductivity, thermoelectricity, etc). More course info available at <a href=http://occamy.chemistry.jhu.edu>http://occamy.chemistry.jhu.edu.</a>.
Cross-listed with Physics and Astronomy

Instructor(s): T. Mcqueen.

#### Applied Mathematics & Statistics

**EN.550.415. Practical Scientific Analysis of Big Data. 3.00 Credits.**

This course explores common issues around computational analysis of massive data. We will learn about numerical inaccuracies in calculations, work with databases, and venture out into parallel computing (multi-threading and CUDA). Students will be introduced to streaming algorithms and elements of robust statistics.

Instructor(s): T. Budavari

Area: Natural Sciences, Quantitative and Mathematical Sciences.

**EN.550.693. Turbulence Theory. 3.00 Credits.**

An advanced introduction to turbulence theory for graduate students in the physical sciences, engineering and mathematics. Both intuitive understanding and exact analysis of the fluid equations will be stressed. Students should have previous familiarity with fluid mechanics.

Instructor(s): G. Eyink.

For current faculty and contact information go to http://physics-astronomy.jhu.edu/people/

### Faculty

#### Chair

Timothy Heckman

Chair and A. Hermann Pfund Professor

#### Professors

Charles L. Bennett

Bloomberg Distinguished Professor and Alumni Centennial Professor: experimental astrophysics; cosmology; radio/submillimeter/infrared astronomy; astronomical instrumentation.

Barry J. Blumenfeld

experimental high-energy physics; neutrino physics, hadron colliders.

Collin Broholm

Gerhard H. Dieke Professor (Director, Institute for Quantum Matter): experimental condensed matter physics, using neutron scattering.

Chia-Ling Chien

Jacob L. Hain Professor: experimental condensed matter physics, nanostructured solids.

Andrei V. Gritsan

experimental high-energy physics; colliders.

Marc Kamionkowski

William R. Kenan, Jr. Professor: theoretical physics specializing in cosmology and particle physics.

David Kaplan

theoretical particle physics and cosmology.

Julian H. Krolik

theoretical astrophysics, particularly high-energy and relativistic astrophysics.

Robert Leheny

experimental condensed matter physics; disordered materials, soft matter.

Petar Maksimovic

experimental high-energy physics; hadron colliders.

David A. Neufeld

theoretical astrophysics, interstellar medium, astrophysical masers.

Colin A. Norman

theoretical and observational astrophysics.

Daniel H. Reich

experimental condensed matter physics; biological physics.

Adam Riess

Bloomberg Distinguised Professor, Krieger Eisenhower Professor and Nobel Laureate: observations of physical cosmology, primarily through the use of distance indicators like supernovae; measurements of dark energy and the expansion history of the universe using optical and near-infrared instruments from space and the ground.

Mark O. Robbins

theoretical condensed matter physics; non-equilibrium processes, atomic origins of macroscopic phenomena.

Morris Swartz

experimental high-energy physics; precision tests of and searches for physics beyond the Standard Model.

Alexander Szalay

Bloomberg Distinguished Professor (Director, IDIES): theoretical astrophysics, galaxy formation.

Oleg Tchernyshyov

theoretical condensed matter physics.

Rosemary F. G. Wyse

astrophysics, galaxy formation and evolution (Director, Theoretical Interdisciplinary Physics and Astrophysics Center).

#### Associate Professors

N. Peter Armitage

experimental condensed matter physics.

Brice Menard

extragalactic astrophysics, cosmology, large surveys.

#### Assistant Professors

Jared Kaplan

effective field theory, particle physics, and cosmology.

Yi Li

theoretical condensed matter physics.

Tobias Marriage

cosmology and astrophysics.

Kevin Schlaufman

observational and theoretical astrophysics.

Francesca Serra

soft matter physics and liquid crystals.

Ari Turner

theoretical condensed matter physics.

Nadia Zakamska

observational and theoretical astrophysics.

#### Research Professor

Jonathan A. Bagger

Krieger-Eisenhower Professor: particle theory; theory and phenomenology of supersymmetry, supergravity, and superstrings.

Luciana Bianchi

observational astrophysics, nearby galaxies, stellar populations, hot stars, UV instrumentation.

William P. Blair

experimental astrophysics, supernova remnants; cataclysmic variable stars.

Paul D. Feldman

Academy Professor: experimental astrophysics, spectroscopy, space physics, planetary and cometary atmospheres.

Michael Finkenthal

experimental plasma and atomic physics.

Holland Ford

experimental astrophysics; stellar dynamics, evolution of galaxies, active galactic nuclei, astronomical instrumentation.

Riccardo Giacconi

University Professor and Nobel Laureate: experimental astrophysics, extragalactic astronomy, the early universe.

Richard Conn Henry

Academy Professor (Director, Maryland Space Grant Consortium): astronomy and astrophysics.

Stephan McCandliss

experimental astrophysics; sounding rocket space astronomy in the far UV (Director, Center for Astrophysical Sciences).

H. Warren Moos

the interstellar medium; stellar processes; the solar system; space instrumentation.

Joseph Silk

Homewood Professor: cosmology.

Ethan Vishniac

theorectical astrophysics.

Harold Weaver

ultraviolet, optical, infrared, X-ray, and radio spectroscopy and imaging of comets, planets, and satellites.

#### Associate Research Professor

Tamas Budavari

observational cosmology, large-scale structure, galaxy clustering; data-intensive parallel computing.

#### Professors Emeriti

Bruce Barnett

Academy Professor: experimental high energy physics; hadron colliders.

Chih-Yung Chien

experimental high-energy physics; hadron colliders.

Gabor Domokos

theoretical elementary particle physics, astroparticle physics.

Brian R. Judd

Gerhard H. Dieke Professor Emeritus: theoretical atomic and molecular physics, group theory, solid state theory.

Chung W. Kim

theory of elementary particles, nuclear theory, cosmology.

Susan Kovesi-Domokos

theoretical elementary particle physics, astroparticle physics.

Yung Keun Lee

experimental nuclear physics.

Aihud Pevsner

Jacob L. Hain Professor Emeritus: experimental elementary particle physics.

#### Adjunct and Visiting Appointments

Ronald J. Allen

Adjunct Professor (Space Telescope Science Institute): observational astronomy; spiral structure of galaxies, interstellar medium, radio and optical imaging.

Michael Fall

Adjunct Professor (Space Telescope Science Institute): astrophysics.

Henry Ferguson

Adjunct Professor (Space Telescope Science Institute): observational cosmology, galaxy evolution, dwarf galaxies, space astronomy instrumentation, and calibration.

Michael G. Hauser

Adjunct Professor (Space Telescope Science Institute): infrared and submillimeter astronomy; interplanetary and interstellar medium; cosmology.

Ann E. Hornschemeier

Adjunct Associate Professor (NASA Goddard Space Flight Center): studies of x-ray emission from star formation in galaxies at cosmologically interesting distances.

John MacKenty

Adjunct Professor (Space Telescope Science Institute): Astronomy and Astrophysics

Roeland van der Marel

Adjunct Professor (Space Telescope Science Institute): extragalactic observational and theoretical astronomy; galaxy structure, dynamics, and formation; black holes.

Peter McCullough

Adjunct Associate Professor (Space Telescope Science Institute): astronomy.

Predrag Nikolic

Adjunct Associate Professor (George Mason University): theoretical condensed matter physics.

Cedomir Petrovic

Adjunct Professor (Brookhaven National Laboratory): experimental condensed matter physics.

Ethan Schreier

Adjunct Professor (Associated Universities, Inc): astronomy.

Mark Stiles

Adjunct Professor (NIST): theoretical condensed matter physics.

Kimberly Weaver

Adjunct Professor (NASA Goddard Space Flight Center): experimental astrophysics.

Robert Williams

Adjunct Professor (Space Telescope Science Institute): observational astronomy;novae, emission nebulae.

#### Joint Appointments

Gregory Eyink

Professor (Applied Mathematics and Statistics): mathematical physics, fluid mechanics, turbulence, dynamical systems.

Michael Falk

Associate Professor (Materials Science and Engineering): theoretical and computational research.

Taekjip Ha

Bloomberg Distinguished Professor (Department of Biophysics, Department of Biomedical Engineering, Department of Biophysics and Biophysical Chemistry)

Tyrel McQueen

Associate Professor (Chemistry): solid state and inorganic chemistry/condensed matter physics.

Jack Morava

Professor (Mathematics): algebraic topology, mathematical physics.

Peter C. Searson

Professor (Materials Science and Engineering): electronic, nanophase, and semiconductor materials.

Darrell F. Strobel

Professor (Earth and Planetary Sciences): planetary atmospheres and astrophysics.