Curriculum
Subject: Statistical Mechanics
Subject Code: 09020301
S. No. 
Topic 
Learning Objective 
Teaching guidelines 
Methodology 
Time (Hrs) 
1 

To acquire the fundamental knowledge of classical and quantum statistical mechanics; construct a bridge between macroscopic thermodynamics and microscopic statistical mechanics. 
To cover Phase space, Liouville’s theorem, Ensemble and Ensemble average, The microscopic and macroscopic states, Concept of equal a priori probability, statistical equilibrium, micro canonical ensemble, Quantization of phase space and Classic limit. Symmetry of wave functions 

10 
2 

To describe and apply the central concepts of statistical mechanics in Microcanonical, Canonical and Grandcanonical ensemble  To cover microcanonical ensemble theory and its application to ideal gas of monatomic particles; canonical ensemble and its thermodynamics, partition function; classical ideal gas in canonical ensemble theory, energy fluctuations; Equipartition and Virial theorems, a system of quantum harmonic oscillators as canonical ensemble; Statistics of paramagnetism; The grand canonical ensemble and significance of statistical quantities, classical ideal gas in grand canonical ensemble theory; density and energy fluctuations. 

10 
3 

To describe the methods of statistical mechanics to develop the statistics for BoseEinstein, FermiDirac and photon gases; selected topics from low temperature physics and thermal properties of matter are discussed.  To cover quantum states and phase space; an ideal gas in quantum mechanical ensembles; Ideal Bose system, basic concepts and thermodynamic behavior of an Ideal Bose gas; BoseEinstein condensation; gas of photons (the radiation fields) and gas of photons (the Debye filed); Ideal Fermi systems; the thermodynamic behavior of an Ideal Fermi gas, discussion of heat capacity of a free electron gas at low temperatures; Pauli parameters, Boltzmann HTheorem. 

10 
4 

To quantitatively describe Brownian motion and diffusion including Random walk concepts.  To cover Introduction, a dynamical model of phase transitions, Critical indices, Ising model, Thermodynamic fluctuations, random walk, Brownian motion, introduction to nonequilibrium processes and diffusion equation. 

10 