Semiclassical Mechanics with Molecular Applications

Semiclassical Mechanics with Molecular Applications

by M. S. Child
     
 

ISBN-10: 0198556543

ISBN-13: 9780198556541

Pub. Date: 10/28/1991

Publisher: Oxford University Press, USA

The second edition of an established graduate text, this book complements the material for a typical advanced graduate course in quantum mechanics by showing how the underlying classical structure is reflected in quantum mechanical interference and tunnelling phenomena, and in the energy and angular momentum distributions of quantum mechanical states in the

Overview

The second edition of an established graduate text, this book complements the material for a typical advanced graduate course in quantum mechanics by showing how the underlying classical structure is reflected in quantum mechanical interference and tunnelling phenomena, and in the energy and angular momentum distributions of quantum mechanical states in the moderate to large (10-100) quantum number regime. Applications include accurate quantization techniques for a variety of tunnelling and curve-crossing problems and of non-separable bound systems; direct inversion of molecular scattering and spectroscopic data; wavepacket propagation techniques; and the prediction and interpretation of elastic, inelastic and chemically reactive scattering.

The main text concentrates less on the mathematical foundations than on the global influence of the classical phase space structures on the quantum mechanical observables. Further mathematical detail is contained in the appendices and worked problem sets are included as an aid to the student.

Product Details

ISBN-13:
9780198556541
Publisher:
Oxford University Press, USA
Publication date:
10/28/1991
Series:
International Series of Monographs on Chemistry Series
Pages:
432
Product dimensions:
6.50(w) x 9.50(h) x 1.16(d)

Table of Contents

1. Introduction
2. Phase Integral Approximations
3. Quantization
4. Angle-Action Variables
5. Matrix Elements
6. Semiclassical Inversion Methods
7. Non-Separable Bound Motion
8. Wavepackets
9. Atom-Atom Scattering
10. The Classical S Matric
11. Reactive Scattering
Appendix A: Phase Integral Techniques
Appendix B: Uniform Approximations and Diffraction Integrals
Appendix C: Transformations in Classical and Quantum Mechanics
Appendix D: The Onset of Chaos
Appendix E: Angle-Action Transformations
Appendix F: The Monodromy Matrix
Appendix G: Solutions to Problems

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