Methods of modern mathematical physics: 4 Analysis of operators
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
2003
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| Ausgabe: | [Nachdr.] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 396 S. graph. Darst. |
| ISBN: | 0125850042 012554720X |
Internformat
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Datensatz im Suchindex
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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
|
| adam_txt |
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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| edition | [Nachdr.] |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T13:42:27Z |
| indexdate | 2024-07-09T20:34:09Z |
| institution | BVB |
| isbn | 0125850042 012554720X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014583837 |
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| physical | XV, 396 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Acad. Press |
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| spelling | Reed, Michael 1942- Verfasser (DE-588)121352889 aut Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon [Nachdr.] New York [u.a.] Acad. Press 2003 XV, 396 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wissenschaftstheorie (DE-588)4117665-0 gnd rswk-swf Ökologische Philosophie (DE-588)4194166-4 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Ökologie (DE-588)4043207-5 gnd rswk-swf Ökologische Philosophie (DE-588)4194166-4 s Ökologie (DE-588)4043207-5 s Methode (DE-588)4038971-6 s Wissenschaftstheorie (DE-588)4117665-0 s DE-604 Simon, Barry 1946- Verfasser (DE-588)134200195 aut (DE-604)BV002367875 4 GBV Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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_exact_search_txtP | 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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