Scattering Theory of Waves and Particles (Theoretical and Mathematical Physics) - Hardcover

Newton, Roger G.

Hardcover

ISBN 10: 3540109501 ISBN 13: 9783540109501

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1982

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.

About this title

About the Author

Roger G. Newton is Professor Emeritus at Indiana University. A Harvard PhD, he worked for several years at the legendary Institute for Advanced Study at Princeton. His research areas include field theory, scattering theories, nuclear and high-energy physics, elementary particles, quantum mechanics, and mathematical physics.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1982
• Language: English
• ISBN 10: 3540109501
• ISBN 13: 9783540109501
• Binding: Hardcover
• Edition number: 2
• Number of pages: 765