PRINCIPLES OF QUANTUM MECHANICS

By KENNETH MILLER

CONTENTS CHAPTER THE WAVE FUNCTION WAVE MOTION WAVE PACKET DISPERSION OF A WAVE PACKET PARTICLES AND WAVES HEISENBERG UNCERTAINTY PRINCIPLE YOUNG'S DOUBLE-SLIT EXPERIMENT STERN±GERLACH EXPERIMENT PHYSICAL INTERPRETATION OF THE WAVE FUNCTION PROBLEMS CHAPTER SCHROÈDINGER WAVE MECHANICS THE SCHROÈDINGER EQUATION EXPECTATION VALUES OF DYNAMICAL QUANTITIES TIME-INDEPENDENT SCHROÈDINGER EQUATION PARTICLE IN A ONE-DIMENSIONAL BOX TUNNELING PARTICLES IN THREE DIMENSIONS PARTICLE IN A THREE-DIMENSIONAL BOX GENERAL PRINCIPLES OF QUANTUM THEORY LINEAR OPERATORS EIGENFUNCTIONS AND EIGENVALUES HERMITIAN OPERATORS EIGENFUNCTION EXPANSIONS SIMULTANEOUS EIGENFUNCTIONS HILBERT SPACE AND DIRAC NOTATION POSTULATES OF QUANTUM MECHANICS PARITY OPERATOR HELLMANN±FEYNMAN THEOREM 3 10 TIME DEPENDENCE OF THE EXPECTATION VALUE 3 11 HEISENBERG UNCERTAINTY PRINCIPLE HARMONIC OSCILLATOR CLASSICAL TREATMENT QUANTUM TREATMENT EIGENFUNCTIONS MATRIX ELEMENTS HEISENBERG UNCERTAINTY RELATION THREE-DIMENSIONAL HARMONIC OSCILLATOR ANGULAR MOMENTUM ORBITAL ANGULAR MOMENTUM GENERALIZED ANGULAR MOMENTUM APPLICATION TO ORBITAL ANGULAR MOMENTUM THE RIGID ROTOR MAGNETIC MOMENT THE HYDROGEN ATOM TWO-PARTICLE PROBLEM THE HYDROGEN-LIKE ATOM THE RADIAL EQUATION ATOMIC ORBITALS SPECTRA SPIN ELECTRON SPIN SPIN ANGULAR MOMENTUM SPIN ONE-HALF SPIN±ORBIT INTERACTION SYSTEMS OF IDENTICAL PARTICLES PERMUTATIONS OF IDENTICAL PARTICLES BOSONS AND FERMIONS COMPLETENESS RELATION NON-INTERACTING PARTICLES THE FREE-ELECTRON GAS BOSE±EINSTEIN CONDENSATION APPROXIMATION METHODS VARIATION METHOD LINEAR VARIATION FUNCTIONS NON-DEGENERATE PERTURBATION THEORY PERTURBED HARMONIC OSCILLATOR DEGENERATE PERTURBATION THEORY GROUND STATE OF THE HELIUM ATOM MOLECULAR STRUCTURE NUCLEAR STRUCTURE AND MOTION NUCLEAR MOTION IN DIATOMIC MOLECULES