Quantum Mechanics: Theory and Applications

The Dirac Delta function --
Fourier transforms --
Particles and waves and the uncertainty principle --
Time dependent Schrödinger equation --
Propagation of wave packets and concept of group velocity --
Bound state solutions of the Schrödinger equation --
Linear harmonic oscillator : I solution of the Schrödinger equation and relationship with the classical oscillator --
One-dimentional barrier transmission problems --
Angular momentum i, the spherical harmonics --
Spherically symmetric potentials hydrogen atom problem, rotation vibration spectra, three-dimensional oscillator --
Dirac's bra and Ket algebra --
Linear harmonic oscillator ii solutions using bra and Ket algebra --
Angular momentum ii : using bra and Ket algebra --
Experiments with spin half particles : the Stern-Gerlach experiement, larmor precession and magnetic resonance --
Angular momentum iii : eigenfunctions using operator algebra --
The double well potential and the Krönig-Penney model --
The JWKB approximation --
Addition of angular momenta : the Clebsch-Gordan coefficients --
Time independent perturbation theory --
Effects of magnetic field --
The variational method --
The helium atom and the exclusion principle --
Some select topics --
Elementary theory of scattering --
Time dependent perturbation theory --
The semi-classical theory of radiation and the Einstein coefficients --
The quantum theory of radiation and its interaction with matter --
Relativistic theory.