Functional integration and quantum physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
AMS Chelsea Publishing
2005
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical reference and index. - Previous ed.: New York [u.a.]: Academic Press, 1979. - Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | xi, 306 Seiten Illustrationen |
| ISBN: | 0821835823 |
Internformat
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| 100 | 1 | |a Simon, Barry |d 1946- |e Verfasser |0 (DE-588)134200195 |4 aut | |
| 245 | 1 | 0 | |a Functional integration and quantum physics |c Barry Simon |
| 250 | |a Second edition | ||
| 264 | 1 | |a Providence, Rhode Island |b AMS Chelsea Publishing |c 2005 | |
| 300 | |a xi, 306 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
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| 500 | |a Includes bibliographical reference and index. - Previous ed.: New York [u.a.]: Academic Press, 1979. - Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Intégration de fonctions | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Integration, Functional | |
| 650 | 4 | |a Quantum theory | |
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Datensatz im Suchindex
| _version_ | 1804135020525256704 |
|---|---|
| adam_text | Contents
Preface to Second Edition vii
Preface ix
List of Symbols xi
I Introduction
1. Introduction 1
2. Construction of Gaussian Processes 8
3. Some Fundamental Tools of Probability Theory 17
II The Basic Processes
4. The Wiener Process, the Oscillator Process,
and the Brownian Bridge 32
5. Regularity Properties—1 43
6. The Feynman Kac Formula 48
7. Regularity and Recurrence Properties—2 60
III Bound State Problems
8. The Birman Schwinger Kernel and Lieb s Formula 88
9. Phase Space Bounds 93
10. The Classical Limit 105
11. Recurrence and Weak Coupling 114
IV Inequalities
12. Correlation Inequalities 119
13. Other Inequalities: Log Concavity, Symmetric
Rearrangement, Conditioning, Hypercontractivity 136
V
vi Contents
V Magnetic Fields and Stochastic Integrals
14. Ito s Integral 148
15. Schrodinger Operators with Magnetic Fields 159
16. Introduction to Stochastic Calculus 170
VI Asymptotics
17. Donsker s Theorem 174
18. Laplace s Method in Function Space 181
19. Introduction to the Donsker Varadhan Theory 198
VII Other Topics
20. Perturbation Theory for the Ground State Energy 211
21. Dirichlet Boundaries and Decoupling Singularities
in Scattering Theory 224
22. Crushed Ice and the Wiener Sausage 231
23. The Statistical Mechanics of Charged Particles
with Positive Definite Interactions 245
24. An Introduction to Euclidean Quantum Field
Theory 252
25. Properties of Eigenfunctions, Wave Packets,
and Green s Functions 258
26. Inverse Problems and the Feynman Kac Formula 272
References 279
Index 293
Bibliographic Supplement 297
Bibliography 301
|
| adam_txt |
Contents
Preface to Second Edition vii
Preface ix
List of Symbols xi
I Introduction
1. Introduction 1
2. Construction of Gaussian Processes 8
3. Some Fundamental Tools of Probability Theory 17
II The Basic Processes
4. The Wiener Process, the Oscillator Process,
and the Brownian Bridge 32
5. Regularity Properties—1 43
6. The Feynman Kac Formula 48
7. Regularity and Recurrence Properties—2 60
III Bound State Problems
8. The Birman Schwinger Kernel and Lieb's Formula 88
9. Phase Space Bounds 93
10. The Classical Limit 105
11. Recurrence and Weak Coupling 114
IV Inequalities
12. Correlation Inequalities 119
13. Other Inequalities: Log Concavity, Symmetric
Rearrangement, Conditioning, Hypercontractivity 136
V
vi Contents
V Magnetic Fields and Stochastic Integrals
14. Ito's Integral 148
15. Schrodinger Operators with Magnetic Fields 159
16. Introduction to Stochastic Calculus 170
VI Asymptotics
17. Donsker's Theorem 174
18. Laplace's Method in Function Space 181
19. Introduction to the Donsker Varadhan Theory 198
VII Other Topics
20. Perturbation Theory for the Ground State Energy 211
21. Dirichlet Boundaries and Decoupling Singularities
in Scattering Theory 224
22. Crushed Ice and the Wiener Sausage 231
23. The Statistical Mechanics of Charged Particles
with Positive Definite Interactions 245
24. An Introduction to Euclidean Quantum Field
Theory 252
25. Properties of Eigenfunctions, Wave Packets,
and Green's Functions 258
26. Inverse Problems and the Feynman Kac Formula 272
References 279
Index 293
Bibliographic Supplement 297
Bibliography 301 |
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| id | DE-604.BV021251181 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:39:28Z |
| indexdate | 2024-07-09T20:33:52Z |
| institution | BVB |
| isbn | 0821835823 |
| language | English |
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| physical | xi, 306 Seiten Illustrationen |
| publishDate | 2005 |
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| publisher | AMS Chelsea Publishing |
| record_format | marc |
| spelling | Simon, Barry 1946- Verfasser (DE-588)134200195 aut Functional integration and quantum physics Barry Simon Second edition Providence, Rhode Island AMS Chelsea Publishing 2005 xi, 306 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Includes bibliographical reference and index. - Previous ed.: New York [u.a.]: Academic Press, 1979. - Hier auch später erschienene, unveränderte Nachdrucke Intégration de fonctions Théorie quantique Quantentheorie Integration, Functional Quantum theory Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Funktionalintegration (DE-588)4155674-4 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Quantenphysik (DE-588)4266670-3 s Funktionalintegration (DE-588)4155674-4 s DE-604 Quantenmechanik (DE-588)4047989-4 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-3027-6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014572581&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Simon, Barry 1946- Functional integration and quantum physics Intégration de fonctions Théorie quantique Quantentheorie Integration, Functional Quantum theory Quantenmechanik (DE-588)4047989-4 gnd Funktionalintegration (DE-588)4155674-4 gnd Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4155674-4 (DE-588)4266670-3 |
| title | Functional integration and quantum physics |
| title_auth | Functional integration and quantum physics |
| title_exact_search | Functional integration and quantum physics |
| title_exact_search_txtP | Functional integration and quantum physics |
| title_full | Functional integration and quantum physics Barry Simon |
| title_fullStr | Functional integration and quantum physics Barry Simon |
| title_full_unstemmed | Functional integration and quantum physics Barry Simon |
| title_short | Functional integration and quantum physics |
| title_sort | functional integration and quantum physics |
| topic | Intégration de fonctions Théorie quantique Quantentheorie Integration, Functional Quantum theory Quantenmechanik (DE-588)4047989-4 gnd Funktionalintegration (DE-588)4155674-4 gnd Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Intégration de fonctions Théorie quantique Quantentheorie Integration, Functional Quantum theory Quantenmechanik Funktionalintegration Quantenphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014572581&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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