Estb. 1882

University of the Punjab

MATH-424 Quantum Mechanics-II

Harmonic Oscillator and Problems in Three-Dimensions  The harmonic oscillator
 Eigenfunctions of the harmonic oscillator
 The harmonic oscillator in momentum space
 Motion in three dimensions
 Spherically symmetric potential and the hydrogen atom Angular Momentum
 Basic properties
 Eigenvalues of the angular momentum operators
 Eigenfunctions of the orbital angular momentum operators L2 and Lz
 Commutation relations between components of angular momentum and their representation
in spherical polar coordinates
Scattering Theory
 The scattering cross-section
 Scattering amplitude
 Scattering equation
 Born approximation
 Partial wave analysis
Perturbation Theory
 Time independent perturbation of non-degenerate and degenerate cases
 Time-dependent perturbations
Credit hours/ Marks:- 3

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