Scattering Theory, Revised Edition ( Volume 26 )

Publication series ：Volume 26

Author： Lax Peter D.;Phillips Ralph S.

Publisher： Elsevier Science‎

Publication year： 1990

E-ISBN: 9780080873381

P-ISBN(Paperback): 9780124400511

P-ISBN(Hardback): 9780124400511

Subject： O413.1 quantum mechanics (wave mechanics, matrix mechanics)

Language： ENG

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Description

This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

Chapter

Front Cover

pp.： 1 – 6

Scattering Theory

pp.： 6 – 7

pp.： 7 – 8

Contents

pp.： 8 – 10

Preface to the Revised Edition

pp.： 10 – 11

Preface to the First Edition

pp.： 11 – 14

Chapter I. Introduction

pp.： 14 – 50

Chapter II. Representation Theory and the Scattering Operator

pp.： 50 – 74

Chapter III. A Semigroup of Operators Related to the Scattering Matrix

pp.： 74 – 106

Chapter IV. The Translation Representation for the Solution of the Wave Equation in Free Space

pp.： 106 – 146

Chapter V. The Solution of the Wave Equation in an Exterior Domain

pp.： 146 – 190

Chapter VI. Symmetric Hyperbolic Systems, the Acoustic Equation with an Indefinite Energy Form, and the Schrödinger Equation

pp.： 190 – 258

Appendix 1. Semigroups of Operators

pp.： 258 – 268

Appendix 2. Energy Decay

pp.： 268 – 274

Appendix 3. Energy Decay for Star-Shaped Obstacles

pp.： 274 – 278

Appendix 4. Scattering Theory for Maxwell's Equations

pp.： 278 – 282

References

pp.： 282 – 288

Epilogue

pp.： 288 – 320

Index

pp.： 320 – 324

Pure and Applied Mathematics

pp.： 324 – 330

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