- 160 pages
- English
- PDF
- Available on iOS & Android
Investigations in Physics
About This Book
This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3- j, 6- j, and 9- j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
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Table of contents
- Cover
- Title
- Copyright
- PREFACE
- PREFACE TO SECOND EDITION
- TABLE OF CONTENTS
- CHAPTER 1. Group Theoretical Preliminaries
- CHAPTER 2. The Quantization of Angular Momentum
- CHAPTER 3. The Coupling of Angular Momentum Vectors
- CHAPTER 4. The Representations of Finite Rotations
- CHAPTER 5. Spherical Tensors and Tensor Operators
- CHAPTER 6. The Construction of Invariants from the Vector-Coupling Coefficients
- CHAPTER 7. The Evaluation of Matrix Elements in Actual Problems
- APPENDIX 1. Theorems Used in Chapter 3
- APPENDIX 2. Approximate Expressions for Vector-Coupling Coefficients and 6-j Symbols
- Tables 1â5
- Cited References and Bibliography
- Index