Semiclassical Mechanics with Molecular Applications (2^nd Ed.)

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.

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 Matrix

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

Cambridge: BA, PhD (1956-62). Glasgow: Lecturer (1963-66). Oxford: Lecturer (1966-89), Reader (1989-94), Coulson Professor of Theoretical Chemistry (1994-2004). Fellow of Royal Society (1989). Visiting professorships: Jerusalem, Paris, Grenoble, Colorado. Invited lectureships: William Draper Harkins (Chicago), Condon (Colorado), Tilden (Royal Society of Chemistry), Boys-Rahman (Royal Society of Chemistry). Conference Chairman: NATO ASI (1977, 1979), Royal Society Discussion (1996), Faraday Discussion (2004).