
B.S. QUANTUM MECHANICSI [PHYS512] SYLLABUS

Review of Basic Concepts: Review of experiments,
De Broglie’s hypothesis, wave particles duality, statistical in
interpretation of matter waves, probability density.

Mathematical Foundation of Quantum Mechanics: Observable
and operators, state of a system (postulate3), Hilbert space and
Dirac notation, expectation values, Hermitian operators and their
properties, Heisenberg uncertainty principle and superposition.

Schrödinger Equation: Time independent Schrödinger
equation; general properties of one dimensional Schrödinger equation,
infinite finite potential well (generalized to 3D), the harmonic oscillator
(generalized to 3D), unbound states, one dimensional barrier problems,
tunneling. Time dependant Schrödinger equation; time development
of state function (postulate 4), expectation values and conservation
laws.

Central Field Problems: Schrödinger equation
in 3D for central potential, angular momentum, eigenfunctions of angular
momentum, eigenvalues of orbital angular momentum, operators L2 and
Lz.

Spin: Stern Gerlach experiment, symmetry principles,
Pauli spin matrices, spin angular momentum, addition of angular momenta,
spin orbit coupling.

Recommended Text:
1. Richard L. Liboff; “Introductory Quantum Mechanics”,
4th Edition, Pearson Education, Inc. (2003)
2. Fayyazuddin, Riazuddin; “Quantum Mechanics”, 1st Edition,
World Scientific Publishing Co. Pte. Ltd. (1990).
3. J. S. Townsend; “A Modern Approach to Quantum Mechanics”,
McGraw Hill Book Company, Singapore (1992).
4. W. Greiner; “Quantum Mechanics: An Introduction” Springer
Verlag, Berlin (1989).
5. Sara M. McMurray; “Quantum Mechanics” Addison –
Wesley Publishing Company Inc. (1994).
6. M. P. Khanna; “Quantum Mechanics”, HarAnand Publications,
New Delhi, (1996).



