Verfügbarkeit: Methods of modern mathematical physics

Methods of modern mathematical physics: 3 Scattering theory

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Bibliographische Detailangaben
Beteiligte Personen:	Reed, Michael 1942- (VerfasserIn), Simon, Barry 1946- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [u.a.] Acad. Press 2001
Ausgabe:	[Nachdr.]
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009976886&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XV, 463 S.
ISBN:	0125850034

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Datensatz im Suchindex

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adam_text	Titel: Bd. 3. Methods of modern mathematical physics. Scattering theory Autor: Reed, Michael Jahr: 2001 Contents Preface vii Introduction ix Contents of Other Volumes xv XI: SCATTERING THEORY /. An overview of scattering phenomena 1 2. Classical particle scattering 5 3. The basic principles of scattering in Hilbert space 16 Appendix 1 Stationary phase methods 37 Appendix 2 Trace ideal properties off(x)g{-N) 47 Appendix 3 A general invariance principle for wave operators 49 4. Quantum scattering I: Two-body case 54 5. Quantum scattering II: N-body case 75 6. Quantum scattering III: Eigenfunction expansions 96 Appendix Introduction to eigenfunction expansions by the auxiliary space method 112 7. Quantum scattering IV: Dispersion relations 116 8. Quantum scattering V: Central potentials 121 A. Reduction of the S-matrix by symmetries 121 B. The partial wave expansion and its convergence 127 C. Phase shifts and their connection to the Schrodinger equation 129 D. The variable phase equation 133 E. Jost functions and Levinson s theorem 136 F. Analyticity of the partial wave amplitude for generalized Yukawa potentials 143 G. The Kohn variational principle 147 Appendix 1 Legendre polynomials and spherical Bessel functions 149 Appendix 2 Jost solutions for oscillatory potentials 155 Appendix 3 Jost solutions and the fundamental problems of scattering theory 164 9. Long-range potentials 169 10. Optical and acoustical scattering I: Schrodinger operator methods 184 Appendix Trace class properties of Greens functions 203 11. Optical and acoustical scattering II: The Lax-Phillips method 210 Appendix The twisting trick 241 12. The linear Boltzmann equation 243 13. Nonlinear wave equations 252 Appendix Conserved currents 278 14. Spin wave scattering 285 15. Quantum field scattering I: The external field 293 16. Quantum field scattering II: The Haag-Ruelle theory 317 17. Phase space analysis of scattering and spectral theory 331 Appendix The RAGE theorem 340 Notes 344 Notes on scattering theory on C*-algebras 382 Problems 385 MATERIAL PREPRINTED FROM VOLUME IV XII 1.6 The absence of singular continuous spectrum I: General theory 406 XI 11.7 The absence of singular continuous spectrum II: Smooth perturbations 411 A. Weakly coupled quantum systems 421 B. Positive commutators and repulsive potentials 427 C. Local smoothness and wave operators for repulsive potentials 433 XII 1.8 The absence of singular continuous spectrum III: Weighted L1 spaces 438 Notes 447 Problems 450 List of Symbols 455 Index 457
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spellingShingle	Reed, Michael 1942- Simon, Barry 1946- Methods of modern mathematical physics
title	Methods of modern mathematical physics
title_auth	Methods of modern mathematical physics
title_exact_search	Methods of modern mathematical physics
title_full	Methods of modern mathematical physics 3 Scattering theory Michael Reed ; Barry Simon
title_fullStr	Methods of modern mathematical physics 3 Scattering theory Michael Reed ; Barry Simon
title_full_unstemmed	Methods of modern mathematical physics 3 Scattering theory Michael Reed ; Barry Simon
title_short	Methods of modern mathematical physics
title_sort	methods of modern mathematical physics scattering theory
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009976886&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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