Quantum Mechanics through Problems

Rocco Schiavilla is Professor and Eminent Scholar in the Physics Department of Old Dominion University and Senior Staff Scientist in the Theory Center of the Thomas Jefferson National Accelerator Facility. His research interests are in nuclear theory with over 170 publications in this area. He is a Fellow of the American Physical Society, and a recipient of the Excellence in Graduate Teaching Award at Old Dominion University, among other awards.

1. The failure of classical physics; 2. Wave-particle duality and wave mechanics; 3. Schrödinger equation: uncertainty relations; 4. The one-dimensional Schrödinger equation: bound states; 5. Scattering in one dimension; 6. Mathematical formulation of quantum mechanics; 7. Physical interpretation: postulates of quantum mechanics; 8. The harmonic oscillator; 9. Particle in a central potential: orbital angular momentum; 10. Bound states in a central potential: applications; 11. Angular momentum: general properties; 12. Spin: charged particle in an electromagnetic field; 13. Addition of angular momenta; 14. Approximation methods; 15. Scattering by a potential; 16. Symmetry transformations of states and operators; 17. Rotation matrices and the Wigner–Eckart theorem: fine and hyperfine structure of energy levels in hydrogen-like atoms; 18. Time-dependent perturbation theory; 19. Systems of identical particles; Bibliography; Index.