## Browse content

### Table of contents

#### Actions for selected chapters

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- Book chapterNo access
#### 1 - Tensor Algebra

Pages 1-25 - Book chapterNo access
#### 2 - The Rotation Group R(4)

Pages 26-44 - Book chapterNo access
#### 3 - R(4) in Physical Systems

Pages 45-61 - Book chapterNo access
#### 4 - The Hydrogen Molecular Ion

Pages 62-87 - Book chapterNo access
#### 5 - Expansions

Pages 88-110 - Book chapterNo access
#### 6 - Free Diatomic Molecules

Pages 111-139 - Book chapterNo access
#### 7 - The Hydrogen Molecule

Pages 140-165 - Book chapterNo access
#### 8 - External Fields

Pages 166-196 - Book chapterNo access
#### 9 - Perturbations

Pages 197-218 - Book chapterNo access
#### Appendix 1 - Algebraic Expressions for Certain n-j Symbols

Pages 219-221 - Book chapterNo access
#### Appendix 2 - Four-Dimensional Spherical Harmonics

Pages 222-223 - Book chapterNo access
#### References

Pages 225-229 - Book chapterNo access
#### Author Index

Pages 231-234 - Book chapterNo access
#### Subject Index

Pages 235-238

## About the book

### Description

Angular Momentum Theory for Diatomic Molecules focuses on the application of angular momentum theory in describing the complex dynamical processes in molecules. The manuscript first offers information on tensor algebra and rotation group. Discussions focus on commutation relations, spherical and double tensors, rotations, coupling, reduced matrix elements, quaternions, combination theorem for Gegenbauer polynomials, and combination theorems for spherical harmonics. The book then takes a look at R(4) in physical systems and hydrogen molecular ion, including rigid rotator, reversed angular momentum, reduced matrix elements, spheroidal coordinates, and hydrogen atom in spheroidal coordinates. The publication examines expansions and free diatomic molecules. Topics include angular momentum, molecular frame, primitive energy spectrum, rotating oscillator and hydrogen atom, expressions for electric potentials, delta functions, and Neumann expansion. The manuscript also considers external fields and perturbations. The text is a dependable reference for readers interested in the application of angular momentum theory in identifying the dynamical processes going on in molecules.

Angular Momentum Theory for Diatomic Molecules focuses on the application of angular momentum theory in describing the complex dynamical processes in molecules. The manuscript first offers information on tensor algebra and rotation group. Discussions focus on commutation relations, spherical and double tensors, rotations, coupling, reduced matrix elements, quaternions, combination theorem for Gegenbauer polynomials, and combination theorems for spherical harmonics. The book then takes a look at R(4) in physical systems and hydrogen molecular ion, including rigid rotator, reversed angular momentum, reduced matrix elements, spheroidal coordinates, and hydrogen atom in spheroidal coordinates. The publication examines expansions and free diatomic molecules. Topics include angular momentum, molecular frame, primitive energy spectrum, rotating oscillator and hydrogen atom, expressions for electric potentials, delta functions, and Neumann expansion. The manuscript also considers external fields and perturbations. The text is a dependable reference for readers interested in the application of angular momentum theory in identifying the dynamical processes going on in molecules.

## Details

### ISBN

978-0-12-391950-2

### Language

English

### Published

1975

### Copyright

Copyright © 1975 Elsevier Inc. All rights reserved.

### Imprint

Academic Press