Semiclassical Mechanics with Molecular Applications

Hardcover | September 21, 2014

byM. S. Child

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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 andangular 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 molecularscattering 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.

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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 andangular momentum distributions of quantum mec...

M.S. Child, BA, PhD (1956-62), was Lecturer, Glasgow (1963-66), Lecturer, Oxford (1966-89), Reader (1989-94), Coulson Professor of Theoretical Chemistry (1994-2004), Fellow of Royal Society (1989). He has had visiting professorships in Jerusalem, Paris, Grenoble, Colorado. Invited lectureships at William Draper Harkins (Chicago), Condo...

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Format:HardcoverDimensions:464 pages, 9.69 × 6.73 × 0.98 inPublished:September 21, 2014Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199672989

ISBN - 13:9780199672981

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Table of Contents

1. Introduction2. Phase Integral Approximations3. Quantization4. Angle-Action Variables5. Matrix Elements6. Semiclassical Inversion Methods7. Non-Separable Bound Motion8. Wavepackets9. Atom-Atom Scattering10. The Classical S Matric11. Reactive ScatteringAppendix A: Phase Integral TechniquesAppendix B: Uniform Approximations and Diffraction IntegralsAppendix C: Transformations in Classical and Quantum MechanicsAppendix D: The Onset of ChaosAppendix E: Angle-Action TransformationsAppendix F: The Monodromy MatrixAppendix G: Solutions to Problems

Editorial Reviews

"M.S. Child is eminently qualified to write an authoritative text on this subject and that is exactly what he has done. The book is written in a clear, lucid style, with interesting, well-chosen examples and problems throughout, providing a structured overview of the subject and giving justthe right amount of detail. This book will undoubtedly become a standard text for all who wish to pursue research using the tools of semiclassical mechanics." --G. B. Bacskay, University of Sydney, Chemistry in Australia