Quantum Mechanics through Problems

With Complete Solutions

Inbunden, Engelska, 2024

Av Rocco Schiavilla, Virginia) Schiavilla, Rocco (Old Dominion University

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This book contains more than 300 problems in quantum mechanics with accompanying solutions, covering topics that are commonly taught in first-year graduate physics programs. Special care is given to each problem's formulation, with detailed and extensive solutions provided to support understanding. The problems span a range of difficulties, from basic exercises to more challenging applications and extensions of the standard material. Students are required to think critically and incorporate physics and mathematical techniques learned previously or concurrently to solve the more challenging problems. Each chapter begins by framing the particular topic being examined with a short theory section that sets the context for and motivates the problems that follow. This text is well suited for self-study or as a useful supplement to the existing quantum mechanics textbooks for upper-undergraduate and graduate students, and their instructors.

Produktinformation

Utgivningsdatum2024-12-12
Mått263 x 211 x 52 mm
Vikt1 852 g
FormatInbunden
SpråkEngelska
Antal sidor784
FörlagCambridge University Press
ISBN9781009473651

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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.