Page 44 - CatalogNEP-PS

and group aspects. Spaceinversion and time reversal: parity operator and anti-linear operator.
Dynamical symmetry ofharmonic oscillator.
Applications: non-relativistic Hamiltonian for an electron with spin included. C. G. coefficients
of addition for j =1/2, 1/2; 1/2, 1; 1, 1.

UNIT 3 (15 Hours)

Approximation Methods for Bound State:Time independent perturbation theory for non-
degenerate and degenerate systems upto secondorder 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. Einsteincoefficients; radiative transitions.
*
Tutorial(15 Hours) one hour per week

SUGGESTED READINGS:

1. H. Goldstein, Classical Mechanics 2nd ed. (Indian Student Edition, Addison-Wesley/
Narosa).

2. J. B. Marion, Classical Mechanics (Academic Press).
3. L. D. Landau and E. M. Lifshitz, Mechanics 3rd ed. (Pergamon).

Phys.413 Statistical Physics 3+1*

LEARNING OBJECTIVES:

The primary aim of this course is to:
 provides an introduction to the microscopic formulation of thermal physics, generally
known as statistical mechanics.
 We explore the general principles, from which emerge an understanding of the
microscopic significance of entropy and temperature.
 We develop the machinery needed to form a practical tool linking microscopic models of
many-particle systems with measurable quantities.
 We consider a range of applications to simple models of crystalline solids, classical gases,
quantum gases and blackbody radiation.

LEARNING OUTCOMES:

After completion of course, students will able to
 Explain the fundamental principles of statistical physics.
 Have vast knowledge of thermodynamic quantities.
 Build knowledge of Gibb‘s distribution and Maxwell distribution.
 Utilize Gibb‘s distribution for derivation of thermodynamics relations.
 Grasp the knowledge ideal gases and non-ideal gases and related phenomena and theories.
 Build the knowledge of quantum statistical distribution laws: Bose-Einstein and Fermi-
Dirac and study examples of these distributions.
 Explain and apply the Phenomenon in very high density systems

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