Page ix





MIII: Bound States of a Particle in a "Potential Well" of Arbitrary Shape







351






NIII: Unbound States of a Particle in the Presence of a Potential Well or Barrier of Arbitrary Shape







359






OIII: Quantum Properties of a Particle in a One-dimensional Periodic Structure







367







Chapter IV
Application of Postulates to Simple Cases: Spin and Two-level Systems








385






A. Spin 1/2 Particle: Quantization of the Angular Momentum







387






B. Illustration of the Postulates in the Case of a Spin 1/2







395






C. General Study of Two-level Systems







405







Complements of Chapter IV


 




Reader's Guide







416






AIV: The Pauli Matrices







417






BIV: Diagonalization of a 2 x 2 Hermitian Matrix







420






CIV: Fictitious Spin 1/2 Associated with a Two-level System







424






DIV: System of Two Spin 1/2 Particles







430






EIV: Spin 1/2 Density Matrix







437






FIV: Spin 1/2 Particle in a Static Magnetic Field and a Rotating Field: Magnetic Resonance







443






GIV: A Simple Model of the Ammonia Molecule







455






HIV: Coupling Between a Stable State and an Unstable State







470






JIV: Exercises







476







Chapter V
The One-dimensional Harmonic Oscillator








481






A. Introduction







483






B. Eigenvalues of the Hamiltonian







488






C. Eigenstates of the Hamiltonian







496






D. Discussion







503







Complements of Chapter V


 




Reader's Guide







509






AV: Some Examples of Harmonic Oscillators







511






BV: Study of the Stationary States in the { | x > } Representation Hermite Polynomials







529






CV: Solving the Eigenvalue Equation of the Harmonic Oscillator by the Polynomial Method







535






DV: Study of the Stationary States in the { | p > } Representation







542






EV: The Isotropic three-dimensional Harmonic Oscillator







547



Start of Citation[PU]John Wiley & Sons, Inc. (US)[/PU][DP]1977[/DP]End of Citation