Advanced Condensed Matter Physics
- Fermi Liquid Theory (many-body perturbation theory, RG approach, Luttinger’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, Heisenberg’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).
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Physics Laboratory IV
- Modern Physics
- Electrical and Electronics
- Optics
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