**Course Outline**

Pre-requisites: Classical Thermodynamics, Kinetic Theory, Ideal gas

This course will aim to cover:

- Some elementary Probability Theory, Phase-space flow: Louiville's Theorem, Postulate of Classical Statistical Mechanics;

- Microcanonical Ensemble: Two-level Systems, The Ideal Gas, Mixing Entropy and the Gibbs Paradox;

- Canonical Ensemble and Grand Canonical Ensemble, Chemical Potential, Equivalence of Canonical and Grand Canonical Ensemble;

- Quantum Statistical Mechanics: The Postulates of Quantum Statistical Mechanics, Density Matrix, Ensembles in Quantum Statistical Mechanics, Dilute Polyatomic Gases, Vibrations of a Solid, Black-body Radiation;

- Ideal Bose gas: Photons, Phonons, Bose-Einstein Condensation; Ideal Fermi gas: Equation of State, Theory of White Dwarfs, Landau Diamagnetism.

**References**

1. Statistical Mechanics by Kerson Huang, Wiley Eastern.

2. Statistical Physics of Particles by Mehran Kardar, Cambridge University Press.

3. Statistical Physics: Course of Theoretical Physics, Vol. 5, Part 1, by L.D. Landau and E.M. Lifshitz; Butterworth Heinemann.

**Grading format:** Homework - 20%, Mid-semester exam - 30%, End-semester exam - 50%

**Homework**

**6th Aug: ** Review Problem Set

**15th Aug: ** Problem set 1 (Due 22nd Aug)

**29th Aug: ** Problem set 2 (Due 5th Sep)

**26th Sep: ** Mid Semester Exam

**22nd Oct: ** Problem Set 3 (Due 31st Oct)

**16th Nov: ** Problem Set 4

**Extras: Some (Handwritten!) Notes**

A small note on Probability as a Measure.