# Strongly Correlated Systems in Condensed Matter Physics

Quasiparticles and Green's functions in BCS theory. (Image courtesy of Professor Leonid Levitov, from the course materials.)

### Instructor(s)

Prof. Leonid Levitov

### MIT Course Number

8.514

### As Taught In

Fall 2003

### Level

Graduate

### Translated Versions

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###

Some Description
Instructor(s) | Prof.
As Taught In | Spring 2002
Course Number | 2.24
Level | Undergraduate/Graduate
Features | Lecture Notes, Student Work

## Course Description

## Course Features

- Selected lecture notes
- Assignments: problem sets (no solutions)

## Course Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.

## Related Content

## Course Collections

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- Physics > Condensed Matter Physics

Leonid Levitov. 8.514 Strongly Correlated Systems in Condensed Matter Physics. Fall 2003. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

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