Scattering Theory: The Quantum Theory of Nonrelativistic Collisions

Scattering Theory: The Quantum Theory of Nonrelativistic Collisions

by John R. Taylor
Scattering Theory: The Quantum Theory of Nonrelativistic Collisions

Scattering Theory: The Quantum Theory of Nonrelativistic Collisions

by John R. Taylor

eBook

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Overview

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.

Product Details

ISBN-13: 9780486142074
Publisher: Dover Publications
Publication date: 04/25/2012
Series: Dover Books on Engineering
Sold by: Barnes & Noble
Format: eBook
Pages: 512
File size: 40 MB
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Table of Contents

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
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