Angular Momentum in Quantum Mechanics

by A. R. Edmonds

Overview

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.

Product Details

ISBN-13:	9781400884186
Publisher:	Princeton University Press
Publication date:	08/10/2016
Series:	Investigations in Physics , #15
Sold by:	Barnes & Noble
Format:	eBook
Pages:	160
File size:	6 MB

About the Author

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

Table of Contents

• 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

Editorial Reviews

"This book . . . has always been and remains to be a standard source reference for those working in quantum theory of angular momentum and its applications in physics."

Zentrallblatt für Mathematik

"This book . . . has always been and remains to be a standard source reference for those working in quantum theory of angular momentum and its applications in physics."

Zentrallblatt für Mathematik

"This book . . . has always been and remains to be a standard source reference for those working in quantum theory of angular momentum and its applications in physics."

Zentralblatt fur Mathematik

"This book . . . has always been and remains to be a standard source reference for those working in quantum theory of angular momentum and its applications in physics."—Zentrallblatt f r Mathematik

From the Publisher