Strongly Correlated Systems in Condensed Matter Physics

Overview

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.

Skills you'll practise

Physics Science & Math

Advantages and disadvantages

Advantages

The real MIT course: lecture notes, problem sets and exams, often with solutions.
Free, with no sign-up or deadlines.
Taught by Massachusetts Institute of Technology, one of the strongest names in its field.
Completely free.
Self-paced: start any time.

Disadvantages

No certificate, no grading and no forum: you need to be self-driven.
Many courses are recordings of past semesters and some have notes only, no videos.
No certificate.

Some points apply to every course of this kind; see how we rank.

Free to learn

Free: All the materials are free to use, with no sign-up. MIT OpenCourseWare gives no certificate.

Taught by

Prof. Leonid Levitov

Massachusetts Institute of Technology is in Tier 1: world-leading universities and India's top institutes of our institution ranking (98/100). OpenCourseWare is the gold standard for free university material.