E-Book, Englisch, 429 Seiten, Web PDF
Constantinescu / Magyari / Spiers Problems in Quantum Mechanics
1. Auflage 2013
ISBN: 978-1-4832-9294-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 429 Seiten, Web PDF
ISBN: 978-1-4832-9294-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Problems in Quantum Mechanics
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Problems in Quantum Mechanics;4
3;Copyright Page;5
4;Table of Contents;6
5;FOREWORD;8
6;A NOTE ON THE LAYOUT OF THIS BOOK;8
7;CHAPTER I. THE MATHEMATICAL FORMALISM OF QUANTUM MECHANICS;10
7.1;1. Hubert Spaces;10
7.2;2. Operators in Hilbert Space;11
7.3;3. The Matrix Representation of Vectors and of Operators;12
7.4;Problems;13
7.5;Solutions;17
8;CHAPTER II. SIMPLE QUANTUM SYSTEMS;29
8.1;1. The Eigenfunctions and the Energy Spectrum;29
8.2;2. The Transmission of Particles through Potential Barriers;30
8.3;3. Motion in a Central Field;30
8.4;Problems;32
8.5;Solutions;41
9;CHAPTER III. MEAN VALUES AND UNCERTAINTY RELATIONS;84
9.1;1. The Mean Values of Dynamical Variables;84
9.2;2. The Uncertainty Relations;85
9.3;Problems;104
9.4;Solutions;107
9.5;CHAPTER IV. THE SEMI-CLASSICAL APPROXIMATION;102
9.6;1. The Wavefunction in the WKB Approximation;102
9.7;2. Formulae for connecting WKB Wavefunctions on Opposite Sides of Turning Points;103
9.8;Problems;104
9.9;Solutions;88
10;CHAPTER V. PICTURES AND REPRESENTATIONS;121
10.1;1. The Schrödinger, the Heisenberg and the Interaction Pictures;121
10.2;2. Representations;122
10.3;3. The Density Operator;124
10.4;Problems;124
10.5;Solutions;128
11;CHAPTER VI. ORBITAL ANGULAR MOMENTUM AND SPIN;152
11.1;1. Properties of Angular Momentum Operators;152
11.2;2. Spin;152
11.3;3. Angular Momentum and Rotations of Coordinate Axes. The Addition of Angular Momenta;153
11.4;Problems;155
11.5;Solutions;161
12;CHAPTER VII. SYSTEMS OF IDENTICAL PARTICLES. SECOND QUANTIZATION;189
12.1;1. Symmetry and Anti-symmetry of State Vectors;189
12.2;2. Isotopic Spin;190
12.3;3. Second Quantization;191
12.4;Problems;192
12.5;Solutions;196
13;CHAPTER VIII. PERTURBATION THEORY. THE VARIATIONAL METHOD;212
13.1;1. Stationary State Perturbation Theory;189
13.2;2. The Variational Method;213
13.3;Problems;214
13.4;Solutions;216
14;CHAPTER IX. TIME-DEPENDENT PERTURBATIONS. RADIATION THEORY;234
14.1;1. Time-dependent Perturbations;234
14.2;2. Radiation;235
14.3;3. The Interaction of Radiation with Atomic Systems;236
14.4;Problems;238
14.5;Solutions;284
15;CHAPTER X. COLLISION THEORY;272
15.1;1. Potential Scattering;272
15.2;2. The Lippmann-Schwinger Equations;277
15.3;Problems;279
15.4;Solutions;241
16;CHAPTER XI. ATOMS AND MOLECULES;330
16.1;Problems;331
16.2;Solutions;332
17;CHAPTER XII. RELATIVISTIC QUANTUM MECHANICS;346
17.1;1. Definitions, Notation, Conventions;346
17.2;2. Elements of Relativistic Mechanics;347
17.3;3. The Klein-Gordon Equation and the Dirac Equation;348
17.4;Problems;350
17.5;Solutions;357
18;APPENDIX. CERTAIN FUNCTIONS USED IN QUANTUM MECHANICS;405
18.1;1. Hermite Polynomials;405
18.2;2. Legendre Polynomials and the Associated Legendre Functions;405
18.3;3. Spherical Harmonics;407
18.4;4. Laguerre Polynomials;408
18.5;5. The Gamma Function;408
18.6;6. Bessel Functions of the First Kind;409
18.7;7. Spherical Bessel Functions;410
18.8;8. The Hypergeometric Function;411
18.9;9. The Confluent Hypergeometric Function;412
19;REFERENCES;414
20;INDEX;424
21;OTHER TITLES IN THE SERIES;428
