Causality and dispersion relations, Volume 95 (Mathematics in Science and Engineering)

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