Generalized co-ordinates, Lagrange’s equation of motion and Lagrangian, generalized
force potential, moment and energy. Hamilton’s Equation of motion and Hamiltonian.
Properties of Hamilton and Hamilton’s equation of motion.
Concept of probability and probability density, operator, Commutator, Formulation of
quantum mechanics and Basic postulates, Operator correspondence, Time dependent
Schrödinger’s equation, formulation of time independent Schrödinger’s equation by
method of separation of variables, Physical interpretation of wave function
Ψ(normalization and probability interpretation), Expectation values, Application of
Schrödinger equation-Particle in an infinite square well potential (1-D and 3-D potential
well), Discussion on degenerate levels.
Concept of energy levels and energy states. Microstates, Macrostates and thermodynamic
probability, equilibrium macrostate. MB, FD, BE statistics (no deduction necessary),
fermions, bosons (definitions in terms of spin, examples), physical significance and
application, classical limits of quantum statistics. Fermi distribution at zero and non –zero
Dielectric Material: Concept of Polarization, the relation between D, E and P,
Polarizability, Electronic, Ionic, Orientation & Space charge polarization, behavior of
Dielectric under alternating field, Dielectric losses.
The Magnetic properties:
Magnetization M, relation between B, H & M. Bohr megneton, Diamagnetism-Larmor
frequency & susceptibility, Curie law, Weiss molecular field theory & Curie-Weiss law,
Hysteresis loss, Antiferromagnetism, Ferromagnetism & Ferrites (analitative).
•Crystal structure- Bravais lattice, Miller indices
•Crystal diffraction (qualitative), Bragg's law and reciprocal lattice,Brillouin zone.
•Free electron theory of metal – calculation of Fermi energy, density of states.
•Band theory of solids- Bloch theorem, Kronig Penny model.
•Electronic conduction in solids-Drude’s theory, Boltzmann equation, Wiedemann Frantz law.
•Semiconductor-Band structure, concept of electron and holes, Fermi level, density of states.
1. Perspectives of Modern Physics:
2. Modern Physics and Quantum Mechanics E.E. Anderson
2.Refresher course in B.Sc. Physics (Vol. III): C.L. Arora
3.Fundamentlas of Physics (Vol. III):
Haliday, Resnick & Krane
a) A.K. Roychaudhuri
b) R.G. Takwal & P.S. Puranic
6. Quantum Mechanics:
a) Eisberg & Resnic
b) A.K. Ghatak & S. Lokanathan
c) S.N. Ghoshal
7.Statistical Mechanics and Thermal Physics:
8.Solid Sate Physics:
a) Sears and Salinger
b) Avijit Lahiri
c) Evelyn Guha
a) A.J. Dekker
b) C. Kittel
c) Aschroft & Mermin
d) S.O. Pillai