Edmonds Angular Momentum in Quantum Mechanics

1. Auflage 2016
ISBN: 978-1-4008-8418-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 160 Seiten

Reihe: Investigations in Physics

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.

Autoren/Hrsg.

Edmonds, A. R.

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Frontmatter, pg. i
Preface, pg. v
Table of Contents, pg. vii
Chapter 1. Group Theoretical Preliminarie, pg. 1
Chapter 2. The Quantization of Angular Momentum, pg. 10
Chapter 3. The Coupling of Angular Momentum Vector, pg. 31
Chapter 4. The Representations of Finite Rotation, pg. 53
Chapter 5. Spherical Tensors and Tensor Operators, pg. 68
Chapter 6. The Construction of Invariants from the Vector- Coupling Coefficients, pg. 90
Chapter 7. The Evaluation of Matrix Elements in Actual Problem, pg. 109
Appendix 1. Theorems Used in Chapter 3, pg. 121
Appendix 2. Approximate Expressions for Vector-Coupling Coefficients and 6 -j Symbols, pg. 122
Tables 1-5, pg. 124
Cited References and Bibliography, pg. 133
Index, pg. 143

Über Autor(innen)

A. R. Edmonds was known for his work in theoretical physics first in England and later in the CERN Theoretical Study Division in Copenhagen.