Scattering Theory: The Quantum Theory of Nonrelativistic Collisions - Brossura

Taylor, John R.

Brossura

ISBN 10: 0486450139 ISBN 13: 9780486450131

Casa editrice: Dover Pubns, 2006

Riassunto

This graduate-level text is intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering. It is designed for readers who are already familiar with the general principles of quantum mechanics and who have some small acquaintance with scattering theory. Study of this text will allow students of atomic or nuclear physics to begin reading the literature and tackling real problems, with a complete grasp of the underlying principles. For students of high-energy physics, it provides the necessary background for later study of relativistic problems.
Topics are presented in terms of the simplest relevant example, so that scattering theory can be learned by becoming familiar with all of the basic concepts — the S operator, cross sections, the T matrix, and so forth — in their simplest context. The time-dependent approach to the subject is emphasized, starting with the use of time-dependent formalism to define all of the basic concepts and the subsequent introduction of the time-independent theory as a tool for computation and for establishing certain general properties. Problems at the end of each chapter improve and supplement readers' grasp of the material.

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Contenuti

Introduction 1. Mathematical Preliminaries 2. The Scattering Operator for a Single Particle 3. Cross Sections in Terms of the S Matrix 4. Scattering of Two Spinless Particles 5. Scattering of Two Particles with Spin 6. Invariance Principles and Conservation Laws 7. More About Particles with Spin 8. The Green’s Operator and the T Operator 9. The Born Series 10. The Stationary Scattering States 11. The Partial-Wave Stationary States 12. Analytic Properties of the Partial-Wave Amplitude 13. Resonances 14. Additional Topics in Single-Channel Scattering 15. Dispersion Relations and Complex Angular Momenta 16. The Scattering Operator in Multichannel Scattering 17. Cross Sections and Invariance Principles in Multichannel Scattering 18. Fundamentals of Time-Independent Multichannel Scattering 19. Properties of the Multichannel Stationary Wave Functions 20. Analytic Properties and Multichannel Resonances 21. Two More Topics in Multichannel Scattering 22. Identical Particles References Index

Product Description

This graduate-level text is intended for any student of physics who requires grounding in the quantum theory of nonrelativistic scattering. The time-dependent approach is emphasized, including the use of time-dependent formalism to define all basic concepts and time-independent theory as a tool for computation. 1983 edition.

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0486450139
• ISBN 13: 9780486450131
• Rilegatura: Copertina flessibile
• Numero di pagine: 477
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile