
III: Scattering Theory
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Content
- Front Cover
- Methods of Modern Mathematical Physics III: Scattering Theory
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Introduction
- Contents of Other Volumes
- Chaper XI. SCATTERING THEORY
- 1. An overview of scattering phenomena
- 2. Classical particle scattering
- 3. The basic principles of scattering in Hubert space
- Appendix 1 Stationary phase methods
- Appendix 2 Trace ideal properties of f (x)g( - i v)
- Appendix 3 A general invariance principle for wave operators
- 4. Quantum scattering I: Two-body case
- 5. Quantum scattering II: N-body case
- 6. Quantum scattering III: Eigenfunction expansions
- Appendix Introduction to eigenfunction expansions by theauxiliary space method
- 7. Quantum scattering IV: Dispersion relations
- 8. Quantum scattering V: Central potentials
- Appendix 1 Legendre polynomials and spherical Bessel functions
- Appendix 2 Jost solutions for oscillatory potentials
- Appendix 3 Jost solutions and the fundamental problems ofscattering theory
- 9. Long-range potentials
- 10. Optical and acoustical scattering I: Schrödinger operatormethods
- Appendix Trace class properties of Green's functions
- 11. Optical and acoustical scattering II: The Lax-Phillipsmethod
- Appendix The twisting trick
- 12. The linear Boltzmann equation
- 13. Nonlinear wave equations
- Appendix Conserved currents
- 14. Spin wave scattering
- 15. Quantum field scattering I: The external field
- 16. Quantum field scattering II: The Haag-Ruelle theory
- 17. Phase space analysis of scattering and spectral theory
- Appendix The RAGE theorem
- Notes
- Notes on scattering theory on C*-algebras
- Problems
- MATERIAL PREPRINTED FROM VOLUME IV
- XIII.6 The absence of singular continuous spectrum I: General theory
- XIII.7 The absence of singular continuous spectrum II: Smooth perturbations
- XIII.8 The absence of singular continuous spectrum III:Weighted L2 spaces
- Notes
- Problems
- List of Symbols
- Index
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