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Methods of modern mathematical physics: 4 Analysis of operators

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Bibliographic Details
Main Authors:	Reed, Michael 1942- (Author), Simon, Barry 1946- (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Acad. Press 2003
Edition:	[Nachdr.]
Subjects:	Wissenschaftstheorie Ökologische Philosophie Methode Ökologie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014583837&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XV, 396 S. graph. Darst.
ISBN:	0125850042 012554720X

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Record in the Search Index

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adam_text	METHODS OF MODERN MATHEMATICAL PHYSICS IV: ANALYSIS OF OPERATORS MICHAEL REED BARRY SIMON DEPARTMENT OF MATHEMATICS DEPARTMENTS OF MALHEMATICS DUKE UNIVERSILY AND PHYSICS PRINCETON UNIVERSITY ACADEMIC PRESS SAN DIEGO NEW YORK BOSTON LONDON SYDNEY TOKYO TORONTO CONTENTS PREFACE VII LNTRODUCTION IX CONTENTS OF OTHER VOLUMES XV XII: PERTURBATION OF POINT SPECTRA /. FINITE-DIMENSIONAL PERTURBATION THEORY 1 APPENDIX ALGEBRAIC AND GEOMETRIC MULTIPLICITY OF EIGENVALUES OFFINITE MATRICES 9 2. REGULAER PERTURBATION THEORY 10 3. ASYMPTOTIC PERTURBATION THEORY 25 4. SUMMABILITY METHODS IN PERTURBATION THEORY 38 5. SPECTRAL CONCENTRATION 45 6. RESONANCES AND THE FERMI GOLDEN RULE 51 NOTES 60 PROBLEMS 69 XIII: SPECTRAL ANALYSIS /. THE MIN-MAX PRINCIPLE 75 2. BOUND STATES OF SCHROEDINGER OPERATORS 1: QUANTITATIVE METHODS 79 3. BOUND STATES OF SCHROEDINGER OPERATORS II: QUALITATIVE THEORY 86 XLII XIV CONTENTS A. IS O DISC (H)FINITE OR INFINITE? 86 B. BOUNDS ON N( V) IN THE CENTRAL CASE 90 C. BOUNDS ON N( V) IN THE GENERAL TWO-BODY CASE 98 4. LOCATING THE ESSENTIAL SPECTRUM I: WEYTS THEOREM 106 5. LOCATING THE ESSENTIAL SPECTRUM III: THE HVZ THEOREM 120 6. THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM I : GENERAL THEORY 136 7. THE ABSENCE OFSINGULAR CONTINUOUS SPECTRUM II: SMOOTH PERTURBATIONS 141 A. WEAKLY COUPLED QUANTUM SYSTEMS 151 B. POSITIVE COMMUTATORS AND REPULSIVE POTENTIALS 157 C. LOCAL SMOOTHNESS AND WAVE OPERATORS FOR REPULSIVE POTENTIALS 163 8. THE ABSENCE OFSINGULAR CONTINUOUS SPECTRUM III: WEIGHTED L 2 SPACES 168 9. THE SPECTRUM OFTENSOR PRODUCTS 177 10. THE ABSENCE OFSINGULAR CONTINUOUS SPECTRUM IV: DILATION ANALYTIC POTENTIALS 183 11. PROPERTIES OF EIGENFUNCTIONS 191 12. NONDEGENERACY OFTHE GROUND STATE 201 APPENDIX 1 THE BEURLING-DENY CRITERIA 209 APPENDIX 2 THE LEVY-KHINTCHINE FORMULA 212 13. ABSENCE OF POSITIVE EIGENVALUES 222 APPENDIX UNIQUE CONTINUATION THEOREMS FOR SCHROEDINGER OPERATORS 239 14. COMPACTNESS CRITERIA AND OPERATORS WITH COMPACT RESOLVENT 244 15. THE ASYMPTOTIC DISTRIBUTION OF EIGENVALUES 260 16. SCHROEDINGER OPERATORS WITH PERIODIC POTENTIALS 279 17. AN INTRODUCTION TO THE SPECTRAL THEORY OF NON-SELF-ADJOINT OPERATORS 316 NOTES 338 PROBLEMS 364 LIST OF SYMBOLS INDEX 387 389
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indexdate	2024-12-20T12:31:52Z
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isbn	0125850042 012554720X
language	English
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physical	XV, 396 S. graph. Darst.
publishDate	2003
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publisher	Acad. Press
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spellingShingle	Reed, Michael 1942- Simon, Barry 1946- Methods of modern mathematical physics Wissenschaftstheorie (DE-588)4117665-0 gnd Ökologische Philosophie (DE-588)4194166-4 gnd Methode (DE-588)4038971-6 gnd Ökologie (DE-588)4043207-5 gnd
subject_GND	(DE-588)4117665-0 (DE-588)4194166-4 (DE-588)4038971-6 (DE-588)4043207-5
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 4 Analysis of operators Michael Reed ; Barry Simon
title_fullStr	Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon
title_full_unstemmed	Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon
title_short	Methods of modern mathematical physics
title_sort	methods of modern mathematical physics analysis of operators
topic	Wissenschaftstheorie (DE-588)4117665-0 gnd Ökologische Philosophie (DE-588)4194166-4 gnd Methode (DE-588)4038971-6 gnd Ökologie (DE-588)4043207-5 gnd
topic_facet	Wissenschaftstheorie Ökologische Philosophie Methode Ökologie
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volume_link	(DE-604)BV002367875
work_keys_str_mv	AT reedmichael methodsofmodernmathematicalphysics4 AT simonbarry methodsofmodernmathematicalphysics4

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