Scattering Theory of Waves and Particles

✍ Scribed by Roger G. Newton (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1982
• Tongue: English
• Leaves: 758
• Series: Texts and Monographs in Physics
• Edition: 2
• Category: Library

✦ Synopsis

Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop­ ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe­ matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe­ matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.

✦ Table of Contents

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Formalism and General Results....Pages 3-29
Spherically Symmetric Scatterers....Pages 30-53
Limiting Cases and Approximations....Pages 54-97
Miscellaneous....Pages 98-118
Front Matter....Pages 119-119
Particle Scattering in Classical Mechanics....Pages 121-140
Front Matter....Pages 141-141
Time-Dependent Formal Scattering Theory....Pages 143-174
Time-Independent Formal Scattering Theory....Pages 175-210
Cross Sections....Pages 211-227
Formal Methods of Solution and Approximations....Pages 228-259
Single-Channel Scattering (Three-Dimensional Analysis in Specific Representations)....Pages 260-297
Single-Channel Scattering of Spin 0 Particles, I....Pages 298-330
Single-Channel Scattering of Spin 0 Particles, II....Pages 331-401
The Watson-Regge Method (Complex Angular Momentum)....Pages 402-416
Examples....Pages 417-443
Elastic Scattering of Particles with Spin....Pages 444-473
Inelastic Scattering and Reactions (Multichannel Theory), I....Pages 474-513
Inelastic Scattering and Reactions (Multichannel Theory), II....Pages 514-587
Short-Wavelength Approximations....Pages 588-611
The Decay of Unstable States....Pages 612-627
The Inverse Scattering Problem....Pages 629-670
Back Matter....Pages 671-745

✦ Subjects

Quantum Physics; Quantum Information Technology, Spintronics