• Instructor:

• Rajdeep Sensarma

• Office: A-325 (Extn:2431)

• Email: sensarma@theory.tifr.res.in

• Classes:

• Tuesday, 2:30 p.m. - 4:00 p.m.

• Room A-304

• Friday, 5:30 p.m. - 7:00 p.m.

• Room A-304

• Starting From: 11.08.2015

• Prerequisites

• Quantum Mechanics of Single Particle including Path Integral Formalism

• 2nd Quantization

• Statistical Mechanics and Basic Notions of Solid State Physics

• Familiarity with Field Theoretic Techniques will be helpful

• Topics

• Brief Review : Bosons, Fermions and their Statistical Mechanics

• Functional Integrals: T=0 and finite T formalism

• 1 particle and 2 particle Green's functions: Linear Response and Scattering

• Interacting Systems: Perturbation Theory and Resummation of Series

• Interacting Systems: Dyson's Eqn and Self Energy, Polarization functions and RPA, Vertex Functions

• Broken Symmetry States : BEC and Superconductivity

• Optional Topic: Renormalization Group and Fermi Liquid Theory

• Optional Topic: Schwinger Keldysh Formalism and Transport Theory

• References

• Methods of Quantum Field Theory in Statistical Physics, by A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski

• Quantum Many Particle Systems, by J. W. Negele and H. Orland

• Quantum Theory of Many-Particle Systems, by A. L. Fetter and J. D. Walecka

• Green's Function for Solid State Physicists, by S. Doniach and E. H. Sondheimer