PHY512
PHYSICS 512 QUANTUM MECHANICS II
Spring 2022
Tuesday, Thursday, 9:45 -- 11:05 AM, Frey 201
Besides the in-person lectures, all other course activities (homework assignments, exams, office hours) will be done electronically. Homework assignments and exams will need to be submitted also through Blackboard. Office hours will be by skype. Questions can be asked and additional skype appointments made through email.
Instructor: Dmitri Averin, dmitri.averin@stonybrook.edu
office hour (by skype): Thursday 4 -5 PM.
Teaching assistant: Jay Bhambure, jay.bhambure@stonybrook.edu
office hour: A107, Tuesday 4-5 PM; or by appointment.
Textbook: J.J. Sakurai and Jim Napolitano, ``Modern quantum mechanics''
Supplementary reading:
L.D. Landau and E.M. Lifshitz, ``Quantum mechanics'';
R. Shankar, ``Principles of quantum mechanics''.
This is the second part of the course in graduate quantum mechanics. It will cover the material discussed in Sakurai, Chapters 5-8 and, time permitting, some selection of additional topics related to modern developments in dissipative quantum mechanics and quantum information and measurements. Approximate outline of the course:
1. Motion in a magnetic field.
2. Perturbation theory; quasiclassical approximation
3. Adiabatic quantum dynamics.
4. Scattering theory.
5. Many-particle systems.
6. Relativistic quantum mechanics.
7. Dissipative quantum systems and decoherence in quantum information.
Grading Homework 25%
Midterm 25%
Final 50%
Exams:
Midterm
Material covered: topics discussed in class and homework up to the time of the exam.
Final
Material covered: The exam will be cumulative, but with the emphasis on the topics discussed in class and homework after the midterm.
Homework assignments - weekly
Note that the problems from Sakurai are assigned according to the Edition 2 of this textbook. If you can not get access to this edition, please contact the instructor.
Learning outcomes
Students who complete this course should
Have a deep understanding of various approximation methods of solution of the Schrodinger equation, including stationary and time-dependent perturbation theory, WKB approximation, adiabatic and sudden approximations, and be able to use all of them appropriately
Have a deep understanding of the scattering theory
Have a basic understanding of the many-particle and relativistic quantum mechanics
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