Quantum mechanics: theory and applications/
Ajoy Ghatak and S. Lokanathan.
- Dordrecht: Kluwer Academic Publishers, 2004.
- xlviii, 858 p. : ill. ; 25 cm.
- Fundamental theories of physics, v. 137. .
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.