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STATISTICAL AND SOLID STATE PHYSICS
Paper Code:
PHY 224
Credits:
04
Contact Hours:
60.00
Max. Marks:
100.00
12.00
Unit I:
UNIT I
Basic Principles, Canonical and Grand Canonical ensembles : Concept of statistical distribution, phase space, density of states ,Liouville's theorem, systems and ensemble, entropy in statistical mechanics, Connection between thermodynamic and statistical quantities, micro canonical ensemble, equation of state, specific heat and entropy of a perfect gas using microcanonical ensemble.
Canonical ensemble, thermodynamic functions for the canonical ensemble, calculation of mean value, energy fluctuation in a gas, grand canonical ensemble, thermodynamic functions for the grand canonical ensemble, density fluctuations.
12.00
Unit II:
UNIT II
Basic Principles, Canonical and Grand Canonical ensembles : Concept of statistical distribution, phase space, density of states ,Liouville's theorem, systems and ensemble, entropy in statistical mechanics, Connection between thermodynamic and statistical quantities, micro canonical ensemble, equation of state, specific heat and entropy of a perfect gas using microcanonical ensemble.
Canonical ensemble, thermodynamic functions for the canonical ensemble, calculation of mean value, energy fluctuation in a gas, grand canonical ensemble, thermodynamic functions for the grand canonical ensemble, density fluctuations.
12.00
Unit III:
UNIT III
Identical particles and symmetry requirement, difficulties with Maxwell-Boltzmann statistics, quantum distribution functions, Bose Einstein and Fermi-Dirac statistics and Planck's formula, Bose Einstein condensation, liquid He4 as a Boson system, quantization of harmonic oscillator and creation and annihilation of phonon operators, quantization of fermion operators.
12.00
Unit IV:
UNIT IV
Theory of Metals : Fermi-Dirac distribution function, density of states, temperature dependence of Fermi energy, specific heat, use of Fermi-Dirac statistics in the calculation of thermal conductivity and electrical conductivity, Drude theory of light, absorption in metals.
12.00
Unit V:
UNIT V
Band Theory: Bloch theorem, Kroning Penny model, effective mass of electrons, Wigner-Seitz approximation, NFE model, tight binding method and calculation of density for a band in simple cubic lattice, pseudo potential method.
References:
1. “Statistical Mechanics “,Huag
2. "Fundamentals of Statistical and Thermodynamical Physics”, Reif.
3. “Statistical mechanics and Thermal Physics”, Rice
4. “Elementray statistical mechanics”, Kittle.
5. “Introduction to solid state physics”. Kittle
6. “Solid State Physics”. Palteros
7 “Solid State Physics.” Levy
Academic Year:
