2nd edition.– New York: Springer-Verlag, 1982,– xx + 743 p.From the author: 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 development. 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 mathematical 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 Formalism and General Results. Spherically Symmetric Scatterers Limiting Cases and Approximations. Miscellaneous Particle Scattering in Classical Mechanics Time-Dependent Formal Scattering Theory Time-Independent Formal Scattering Theory Cross Sections Formal Methods of Solution and Approximations Single-Channel Scattering (Three-Dimensional Analysis in Specific Representations) Single-Channel Scattering of Spin 0 Particles, I Single-Channel Scattering of Spin 0 Particles, II The Watson-Regge Method (Complex Angular Momentum) Examples Elastic Scattering of Particles with Spin Inelastic Scattering and Reactions (Multichannel Theory), I Inelastic Scattering and Reactions (Multichannel Theory), II Short-Wavelength Approximations The Decay of Unstable States. The Inverse Scattering Problem Back Matter.
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