PHYSICS
625

Non-relativistic Quantum Mechanics

Lectures: Monday and Wednesday; 12:30p.m.- 1:45p.m., room PHYS 1219 Non-relativistic Quantum Mechanics

Office hours: Monday; 2:00 p.m. - 3:00p.m., room PHYS 2330

Instructor: Victor Galitski

Description:

The purpose of this course is to provide a graduate-level introduction to quantum many-body physics and condensed matter physics. This will include an introduction to second quantization, Green's function formalism, Feynman diagrammatic technique, Kubo linear response theory, Fermi liquid theory, Bardeen-Cooper-Schrieffer theory of superconductivity, topological quantum matter, theory of phonons in solids, theory of disordered quantum systems (in particular, localization), topological phases, and path integral formalism.

Syllabus

Additional material:

Lecture on Bose-Einstein condensates, Gross-Pitaevskii equation

Lecture on topological classification of band structures

Homework:

Problem set 1 due February 7

Problem set 2 due February 21

Problem set 3 due March 26

Problem set 4 due April 18

Problem set 5 due May 2