Page 45 - CatalogNEP-PS

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THEORY (45 Hours)

UNIT 1 (15 Hours)
The Fundamental Principles of Statistical Physics: Statistical Distributions, Statistical
independence, Loiuville‘s theorem, The significance of energy, The statistical matrix,Statistical
distribution in quantum statistics , entropy, the law of increase of entropy.Thermodynamic
Quantities: Temperature, Macroscopic motion, Adiabatic processes,Pressure, Work and quantity
of heat, The heat function, The free energy and thethermodynamic potential , Relations between
the derivatives of thermodynamic quantities,The thermodynamic scale of temperature, The joule-
Thomason process, Maximum work,Maximum work done by a body in an external medium,
thermodynamic inequalities, Le Chatelier‘s principle, Nernst‘s theorem, The dependence of the
thermodynamic quantitieson the number of particles, Equilibrium of a body in an external field,
Rotating bodies,Thermodynamic relation in the relativistic region.

UNIT 2 (15 Hours)

The GIBBS Distribution: The Gibbs Distribution, The Maxwellian Distribution, The probability
distribution for an oscillator, The free energy in the Gibbs distribution, Thermodynamic
perturbation theory, Expansion in powers of h , the Gibbs distribution forrotating bodies, the
Gibbs distribution for a variable number of particles, The derivation ofthe thermodynamic
relations from the Gibbs distribution.
Ideal Gases: The Boltzmann distribution, The Boltzmann distribution in classicalstatistics,
Molecular collisions, Ideal gases not in equilibrium, the free energy of an idealBoltzmann gas,
The equation of state of an ideal gas, Ideal gases with constant specificheat, The law of
equipartition, Monatomic ideal gases, The effect of the electronic angularmomentum.
Non- ideal Gases: Deviations of gases from the ideal state, Expansion in powers ofthe density,
Van der Waals formula, relationship of the virial coefficient and the scatteringamplitude,
Thermodynamic quantities for a classical plasma, The method of correlationfunctions,
Thermodynamic quantities for a degenerate plasma. The method of correlationfunction,
thermodynamic quantities of a degenerate plasma.
UNIT 3 (15 Hours)

Approximation Methods for Bound State: Time independent perturbation theory for non-
degenerate and degenerate systems upto second order perturbation. Application to a harmonic
oscillator, first order Stark effect in hydrogenatom, Zeeman effect without electron spin. Variation
principle, application to ground state ofhelium atom, electron interaction energy and extension of
variational principle to excited states.WKB approximation: energy levels of a potential well,
quantization rules. Time-dependentperturbation theory; transition probability (Fermi Golden
Rule), application to constantperturbation and harmonic perturbation. Semi-classical treatment of
radiation. Einstein
coefficients; radiative transitions.

* Tutorial(15 Hours) one hour per week