Quantum Mechanics, Second edition

PRELIMINARY CONCEPTS Origins Collapse of Determinism Matter Waves Heisenberg's Uncertainty Principle When is a Wave a Particle? Schrodinger's Wave Equation WAVE MECHANICS I Time-Independent Schrodinger Equation The Infinite Square-Well Potential Degeneracy and Parity Finite Square Well Bouncing Ball ONE-DIMENSIONAL DELTA WELLS The Single One-Dimensional Delta Well The One-Dimensional Triple Delta Well WAVE MECHANICS 2 Simple Harmonic Oscillator Hydrogen Atom Free Particles Scattering from a Potential Step Tunnelling Many-Particle Wave Functions SCATTERING IN THREE DIMENSIONS Partial Wave Analysis Attractive Spherical Well in the Limit of Low Energy S-Wave Scattering Repulsive Spherical Obstacle THE FORMAL RULES OF QUANTUM MECHANICS Wave Superposition in Vector Language Operators Momentum and Position Eigenstates Compatible Observables and Commutation Relations Symmetry and Conservation Laws Summary ANGULAR MOMENTUM Operators and Commutators Eigenfunctions and Eigenvalues Matrix Formulation Intrisic Spin Spin Eigenvectors Illustrating the Rules of Quantum Mechanics Magnetic Moment Spin Wave Functions PARTICLE IN A CENTRAL POTENTIAL Separation of Radial and Anular Variables Radial Square Well Hydrogen Atom SOME ATOMIC PHYSICS Addition of Angular Momenta Addition of Orbital and Spin Angular Momenta Spin-Orbit Coupling A Further Relativistic Effect Effect on a One-Electron Atom of an Externally Applied Magnetic Field: Zeeman Effect APPROXIMATION METHODS Perturbation Theory Applications of Perturbation Theory The Variational Method TRANSITIONS Time-Dependent Perturbation Theory Harmonic Perturbation Energy-Time Uncertainty Relation and Fermi's Golden Rule Emission and Absorption of Electromagnetic Radiation by Atoms Spontaneious emission of Radiation APPENDICES The One-Dimensional Infinite Array of Delta Wells Spherical Harmonics The Dirac Delta Function Useful Quantities Useful Integrals Exercises Answers to Exercises