8.514 Strongly Correlated Systems in Condensed Matter Physics

Fall 2003

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

Course Highlights

This course includes lecture notesproblem sets, and a term paper project.

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.

*Some translations represent previous versions of courses.

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Prof. Leonid Levitov

Course Meeting Times

Two sessions / week
1.5 hours / session