A Companion to Angular Momentum

Angular momentum is a basic concept used in classical physics. Examples of phenomena that are related to angular momentum are: 1) Why a moving bicycle does not fall over and 2) why the currents in the ocean of the rotating earth tend to follow circular motions. Designed as a learning tool for those with limited background in quantum mechanics and to compliment Zare's Angular Momentum, this book provides examples, problems, & solutions in angular momentum in quantum mechanics and its applications to chemistry and physics.

Valeria D. Kleiman and Hongkun Park are the authors of A Companion to Angular Momentum, published by Wiley.

Preface

vii

1 Angular Momentum Operators and Wave Functions

1

(16)

Problem Set 1

2

(6)

Application 1 Scattering Theory

8

(9)

2 Coupling of Two Angular Momentum Vectors

17

(20)

Application 2 The Wigner-Witmer Rules

18

(6)

Application 3 The Rotational Energy Levels of a (2)Sigma Free Radical

24

(13)

3 Transformation Under Rotation

37

(54)

Application 4 Energy Levels of Atoms with Two Valence Electrons

38

(11)

Application 5 Angular Distribution of Rigid Rotor Axes

49

(7)

Application 6 Photofragment Angular Distribution

56

(4)

Application 7 Introduction to Symmetric Tops

60

(5)

Application 8 Polarized Fluorescence And Raman Scattering

65

(13)

Application 9 Quantum Beats

78

(13)

4 Coupling of More Than Two Angular Momentum Vectors

91

(14)

Problem Set 2

92

(13)

5 Spherical Tensor Operators

105

(54)

Problem Set 3

106

(11)

Application 11 Atomic Energy Levels Revisited

117

(7)

Application 12 Directional Correlations

124

(6)

Application 13 Orientation and Alignment

130

(21)

Application 14 Nuclear Quadrupole Interactions

151

(8)

6 Energy-Level Structure and Wave Functions of a Rigid Rotor

159

(34)

Problem Set 4

160

(17)

Application 15 Introduction to Diatomic Molecules

177

(12)

Application 16 Molecular Reorientation in Liquids

189

(4)

7 Errata to 2nd Printing of Angular Momentum

193

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A Companion to Angular Momentum

Summary

Author Biography

Table of Contents

Supplemental Materials