In the preparation of this volume we were fortunate to receive advice from C. Berning， P. Deift， V. Enss， G. Hagedorn， J. Holder， T. Ikebe， M. Klaus， S. Kuroda， J. Morgan III， S. Pinault， J. Rauch， S. Ruijsenaars， and L. Smith. We are grateful to these individuals and others whose comments made this book better.本书为英文版！
作者简介
暂缺《现代数学物理方法（第3卷 英文版）》作者简介
图书目录
Preface Introduction Contents of Other Volumes XI: SCATTERING THEORY 1. An overview of scattering phenomena 2. Classical particle scattering 3. The basic principles of scattering in Hilbert space Appendix 1 Stationary phase methods Appendix 2 Trace ideal properties of f(x)g(-i) 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 the auxiliary space method 7. Quantum scattering IV: Dispersion relations 8. Quantum scattering V: Central potentials A. Reduction of the S-matrix by symmetries B. The partial wave expansion and its convergence C. Phase shifts and their connection to the Schrodinger equation D. The variable phase equation E. Jost functions and Levinson's theorem F. Analyticity of the partial ware amplitude for generalized Yukawa potentials G. The Kohn variational principle Appendix 1 Legendre polynomials and spherical Bessel functions Appendix 2 dost solutions for oscillatory potentials Appendix 3 dost solutions and the fimdamental problems of scattering theory 9. Long-range potentials 10. Optical and acoustical scattering I: Schrodinger operator methods Appendix Trace class properties of Green's functions 11. Optical ami acoustical scattering II: The Lax-Phillips method Appendix The twisting trick 12. The linear Boltzmann equation 13. Nonlinear ware equations Appendix Conserced currents 14. Spin wave scattering 15. Quantum feld 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 A. Weakly coupled quantum systems B. Positire commutators and repulsive potentials C. Local smoothness and ware operators Jbr repulsive potentials XIII.8 The absence of singular continuous spectrum III: Weighted L2 spaces Notes Problems List of Symbols Index
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