Causality and Dispersion Relations

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Author(s): H.M. Nussenzveig (Eds.)
Series: Mathematics in Science and Engineering 95
Publisher: Academic Press
Year: 1972

Language: English
Pages: iii-xii, 1-435

Content:
Edited by
Page iii

Copyright page
Page iv

PREFACE
Pages xi-xii

PART I CAUSALITY AND ANALYTICITY
Page 1

CHAPTER 1 CAUSALITY AND DISPERSION RELATIONS Original Research Article
Pages 3-53

CHAPTER 2 PARTIAL-WAVE DISPERSION RELATIONS Original Research Article
Pages 54-123
W. Heisenberg

CHAPTER 3 DISPERSION RELATIONS FOR THE TOTAL SCATTERING AMPLITUDE Original Research Article
Pages 124-154
M. Gell-Mann

CHAPTER 4 PHYSICAL INTERPRETATION OF S-MATRIX SINGULARITIES Original Research Article
Pages 155-190
H. Lamb

PART II POTENTIAL SCATTERING
Page 191

CHAPTER 5 ANALYTIC PROPERTIES OF PARTIAL-WAVE AMPLITUDES Original Research Article
Pages 193-242
M. Gell-Mann

CHAPTER 6 ANALYTIC PROPERTIES OF THE TOTAL AMPLITUDE Original Research Article
Pages 243-281
R. Jost

CHAPTER 7 REGGE POLES Original Research Article
Pages 282-325
A.A. Milne

CHAPTER 8 THE MANDELSTAM REPRESENTATION Original Research Article
Pages 326-361
M. Gell-Mann

APPENDIX A DISTRIBUTION THEORY
Pages 362-390

APPENDIX B PASSIVITY AND CAUSALITY
Pages 391-392

APPENDIX C PROPERTIES OF HERGLOTZ FUNCTIONS
Pages 393-395

APPENDIX D PROPERTIES OF R-FUNCTIONS
Pages 396-401

Appendix E Asymptotic Time Behavior of Free Schrödinger Wave Packets
Pages 402-403

Appendix F Compact Operators in Banach Space
Pages 404-410

APPENDIX G Asymptotic Behavior of Green's Function
Pages 411-413

Appendix H The Path Γ(ν)
Pages 414-417

Appendix I Dispersion Relation for the Basic Mandelstam Integral
Pages 418-419

AUTHOR INDEX
Pages 421-425

Subject Index
Pages 426-435