Includes bibliographical references and index.

The Dirac delta function -- Fourier transforms -- Particles and waves and the uncertainty principle -- Time dependent Schrodinger equation -- Propagation of wave packets and concept of group velocity -- Bound state solutions of the Schrodinger equation -- Linear harmonic oscillator I : solution of the Schrodinger equation and relationship with the classical oscillator -- One-dimensional 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 experiment, Larmor precession and magnetic resonance -- Angular momentum III : Eigenfunctions using operator algebra -- The double well potential and the Kronig-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.