Introduction to Statistical Mechanics

COURSE OUTLINE: This is an introductory course in classical and quantum statistical mechanics which deals with the principle of ensembles, Classical, Fermi and Bose ideal gases, Pauli paramagnestim, Debye and Einstein’s theory of specific heat and the 1D Ising model.

PRE-REQUISITES: Thermodynamics, Classical mechanics, Quantum mechanics

INTENDED AUDIENCE: M.Sc and beginning PhD students and other interested individuals

Introduction to Statistical Mechanics [Introduction Video].
Lec 1: Prerequisites and Introduction.
Lec 2: Combinatorics and Entropy.
Lec 3: Method of steepest descent.
Lec 4: Bose and Fermi gases.
Lec 5: Maxwell Boltzmann distribution.
Lec 6: Thermodynamic potentials.
Lec 7: Legendre transformation.
Lec 8: Specific heats of quantum gases.
Lec 9: Low and high temperature equations of state.
Lec 10: Chandrasekhar Limit.
Lec 11: Radiation thermodynamics.
Lec 12: Thermodyamics of black holes.
Lec 13: Van der Waals fluid.
Lec 14: Landau Diamagnetism.
Lec 15: Relations between ensembles and Theory of Paramagnetism.
Lec 16:- Ferromagnetism.
Lec 17:- Correlations and Mean Field.
Lec 18: Theories of Specific Heat of Solids.
Lec 19: Tutorial I.
Lec 20:- Tutorial-II.
Lec 21:- Tutorial-III.
Lec 22:- Tutorial-IV.
Lec 23:- Tutorial-V.
Lec 24:- RG method Ising model.
Lec 25:- Introduction to Second Quantisation: Harmonic Oscillator.
Lec 26:- Quantum Theory of EM Field- I.
Lec 27:- Quantum Theory of EM Field- II.
Lec 28:- Creation and Annihilation in Fock Space- I.
Lec 29:- Creation and Annihilation in Fock Space- II.
Lec 30:- Green functions in many particle systems.
Lec 31:- Second quantised hamiltonians.
Lec 32:- Current algebra.