## Advanced Condensed Matter Physics

- Fermi Liquid Theory (many-body perturbation theory, RG approach, Luttingerâ€™s theorem and some insights on non-Fermi liquids)
- Disorder and Localization Physics (weak localisation, scaling theory of gang-of-four)
- Superconductivity (Ginzburg-Landau phenomenology and BCS theory)

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## Advanced Statistical Mechanics

- Introduction to Phase Transitions, Classification and some popular models that are studied
- Mean Field theory (Curie-Weiss, Bogolyubov, Exact solution in infinite dimensions, Ginzurg-Landau)
- A tour of some exactly solvable models
- Symmetry breaking, and Fluctuations
- Anomalous dimensions and Scaling

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## Introductory Quantum Mechanics

- The concept of wave function, Postulates of quantum mechanics, introduction to operators and eigenvalues. Simple solvable problems
- Calculation of probabilities and expectation values, Heisenbergâ€™s uncertainty principle. Wave packets and motion in quantum mechanics, free particle wave packets, Scattering and tunneling.
- Angular momentum: orbital angular momentum, commutation relations and compatibility. Solution of 3D Schrdinger equation, the hydrogen atom, Spin angular momentum.
- A few extra topics (e.g., two spin Heisenberg problem, particle on a circle, particle in a double well, the Landau problem).

[Details] [Lecture Notes]

## Physics Laboratory IV

- Modern Physics
- Electrical and Electronics
- Optics

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