PHY 765: Graduate Advanced Physics
This course introduces some advanced topics in quantum many body theory
that a physics graduate student is expected to understand. This includes
many body quantum mechanics in the Fock space formalism and introduces
the basic concepts of quantum field theory. While most of the course
deals with the Hamiltonian approach some connections to the Lagrangian
formalism will be made. The course assumes an advanced knowledge of
quantum mechanics and builds on the concepts that are necessary to
understand various physical phenomena ranging from superfluidity,
superconductivity and Magnetism. It also introduces the basics of gauge
theory using the electro-magnetic field and its interaction with matter
as an example.
Prerequisites: A solid foundation in Quantum Mechanics and
Shailesh Chandrasekharan, Room 253, Duke Phone: 660-2462,
Time and Place:
- Lectures: Mondays and Fridays, 11:45 am - 1:00 pm
in room 299 located in the Physics and Mathematics building.
Office Hours/Help Room: Mondays 4:00-5:30pm (room 298)
will be responsible for grading the homeworks. Given the limited time of
TA help students should direct physics questions to the instructor and
direct only grading related questions to the TA.
Unfortunately, there is no single textbook for the course. The
material covered is based on self prepared lecture notes that will be
distributed. However, much of the material covered can be found
distributed in a number of textbooks. Some of these are given below.
- Advance Quantum Mechanics, by Sakurai
- Quantum Mechanics, by Merzbacher
- Lectures on Quantum Mechanics, by Weinberg
- Quantum Mechanics with Basic Field Theory, by Desai
- Quantum Mechanics Special Chapters, by Greiner
- Many-Particle Physics, by Mahan
It is also important to note that some of the material, especially
in the beginning, is based on the professors belief on how one must
understand the subject. Further the notation found in the above
textbooks can be different from the notes.
Grades will be assigned according to the following weighted average:
- Homeworks: 30%
- Two Midterm Exams: 30%
- Endterm Exam: 40%
- Midterm Exam 1: Monday, September 29, 2014; 11:45am-1pm; Room 299
- Midterm Exam 2: Monday, November 03, 2014; 11:45am-1pm; Room 299
- Final Exam Time: Thursday, December 11, 2014; 2pm-5pm; Room 299
A student needs to get roughly 70% or better in the course to get a B
grade or better. So please make sure you are on target for at least that much.
Attending classes is very important since lectures will be based on
self prepared notes. Although the material covered by the lectures
can be found in many standard books, it may be difficult to find them
in a coherent fashion. As far as possible I will provide typed notes.
Since I will have limited time to proof read them carefully, please
work out the details and make sure you agree with what is written.
Please inform me of any typos you may find in the notes.
Please note that different text books use different notations and this
can lead to confusions. I will try my best to be consistent in the notes
that I provide. If you are unsure about a notation you are welcome to
discuss it with me. If you have to miss a lecture for health or other
emergencies, it will be your responsibility to make up the material.
- Homework problems will be posted on the web every Friday
evening and will be due on the tenth day (ideally during Monday's class).
It is highly recommended you look at the problems during the weekend and
come to office hours on the following Monday to discuss confusions and
tips on solving problems. Homeworks count for 30% of your class grade
which you can get by just being regular and learning the material. You
are welcome to discuss among yourselves and others to learn to do
homework problems. However, when you are beginning to write up the
solutions, you should only use your own notes to solve the problem.
Better yet, develop a list of formulas that you find important and
useful and try solving the home work problems like an exam. You may
not see another persons written/typed homework solutions in any form.
No student should give out his/her solutions to others.
- Read the lecture notes provided before coming to class.
- Begin to think about the homework problems soon after they are assigned.
- Attend all the lectures.
- Ask questions if you do not understand something. No question is
dumb. But it is dumb to not ask questions if you do not understand
- The course will be highly mathematical. Learn all the steps in
the derivations, but make sure you are also focused on the physics question
you are after and do not get lost in the mathematics!
- Follow very strictly the academic "Honor Code".
Problem set 1 (Due on 9/8/14)
Problem set 2 (Due on 9/15/14)
Problem set 3 (Due on 9/22/14)
Problem set 4 (Due on 9/29/14)
Problem set 5 (Due on 10/06/14)
Problem set 6 (Due on 10/20/14)
Problem set 7 (Due on 10/27/14)
Problem set 8 (Due on 11/10/14)
Problem set 9 (Due on 12/01/14)
Problem set 10 (Due on 11/17/14)
Problem set 11 (Due on 12/01/14)