Subject Code:	Subject Name: Statistical Mechanics	L-T-P: 3-0-0	Credit: 3
Pre-requisite(s): None
Unit-1: Classical Statistical Mechanics (a) Macrostate & Microstate, Elementary Concept of Ensemble and Ergodic Hypothesis, Phase Space and Liouville theorem. (b) Microcanonical ensemble, Postulate of Equal a-priori probabilities. Boltzmann hypothesis: Entropy and Thermodynamic Probability. (c) Canonical ensemble, Partition Function, Thermodynamic Functions of an Ideal Gas, harmonic oscillator, and paramagnetism, Classical Entropy Expression, Gibbs Paradox. (d) Law of Equipartition of Energy, Applications to Specific Heat and its Limitations. Thermodynamic Functions of a Two-Energy Level System. (e) Grand canonical ensemble. Application of ideal gas using grand canonical ensemble. chemical potential Unit-2: Systems of Identical particles Collection of non-interacting identical particles. Occupation number and MB distribution, Composite system postulate and symmetry postulate of quantum mechanics (for a pair of particles only). Bosons and Fermions. Symmetric and Antisymmetric wave functions. state counting for bosons and fermions. Unit-3: Bose-Einstein Statistics B-E distribution law. Bose Einstein condensation and properties of liquid He IV (qualitative description only). Unit-4: Fermi-Dirac Statistics Fermi-Dirac Distribution Law. Thermodynamic functions of strongly Degenerate Fermi Gas, Fermi Energy. Text/Reference Books: Introductory Statistical Mechanics , R. Bowley and M. Sanchez, 2007, Oxford Science Publications. Statistical Physics, Berkeley Physics Course, F. Reif, 2008, Tata McGraw- Hill Publishing Company Ltd. R. K. Pathria, Statistical Mechanics, Butterworth Heinemann, Second Edn, 1996. K. Huang, Statistical Mechanics, John Wiley Asia.

Subject Code:

Subject Name: Statistical Mechanics

L-T-P: 3-0-0

Credit: 3

Pre-requisite(s): None

Unit-1: Classical Statistical Mechanics (a) Macrostate & Microstate, Elementary Concept of Ensemble and Ergodic Hypothesis, Phase Space and Liouville theorem. (b) Microcanonical ensemble, Postulate of Equal a-priori probabilities. Boltzmann hypothesis: Entropy and Thermodynamic Probability. (c) Canonical ensemble, Partition Function, Thermodynamic Functions of an Ideal Gas, harmonic oscillator, and paramagnetism, Classical Entropy Expression, Gibbs Paradox. (d) Law of Equipartition of Energy, Applications to Specific Heat and its Limitations. Thermodynamic Functions of a Two-Energy Level System. (e) Grand canonical ensemble. Application of ideal gas using grand canonical ensemble. chemical potential
Unit-2: Systems of Identical particles Collection of non-interacting identical particles. Occupation number and MB distribution, Composite system postulate and symmetry postulate of quantum mechanics (for a pair of particles only). Bosons and Fermions. Symmetric and Antisymmetric wave functions. state counting for bosons and fermions.
Unit-3: Bose-Einstein Statistics B-E distribution law. Bose Einstein condensation and properties of liquid He IV (qualitative description only).
Unit-4: Fermi-Dirac Statistics Fermi-Dirac Distribution Law. Thermodynamic functions of strongly Degenerate Fermi Gas, Fermi Energy.

Text/Reference Books:

Introductory Statistical Mechanics , R. Bowley and M. Sanchez, 2007, Oxford Science Publications.
Statistical Physics, Berkeley Physics Course, F. Reif, 2008, Tata McGraw- Hill Publishing Company Ltd.
R. K. Pathria, Statistical Mechanics, Butterworth Heinemann, Second Edn, 1996.
K. Huang, Statistical Mechanics, John Wiley Asia.