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

 
9783540109501: Scattering Theory of Waves and Particles (Theoretical and Mathematical Physics)

Inhaltsangabe

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.

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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.

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Roger G. Newton
Verlag: New York, Springer, 1982
ISBN 10: 3540109501 ISBN 13: 9783540109501
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Hardcover. 2. ed. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02360 3540109501 Sprache: Englisch Gewicht in Gramm: 1150. Bestandsnummer des Verkäufers 2488218

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Couverture rigide. Zustand: bon. R260270105: 1982. In-8. Relié. Très bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 743 pages. . . . Classification Dewey : 420-Langue anglaise. Anglo-saxon. Bestandsnummer des Verkäufers R260270105

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Newton, Roger G
Verlag: Springer, 1982
ISBN 10: 3540109501 ISBN 13: 9783540109501
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