Classical nonintegrability, quantum chaos:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
1997
|
| Series: | DMV-Seminar
27 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | VI, 98 S. Ill., graph. Darst. |
| ISBN: | 3764357088 0817657088 |
Staff View
MARC
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| 100 | 1 | |a Knauf, Andreas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Classical nonintegrability, quantum chaos |c Andreas Knauf ; Yakov G. Sinai. With a contribution by Viviane Baladi |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a VI, 98 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a DMV-Seminar |v 27 | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Chaos quantique | |
| 650 | 4 | |a Dynamique | |
| 650 | 7 | |a Dynamique |2 ram | |
| 650 | 4 | |a Théories non linéaires | |
| 650 | 7 | |a Théories non linéaires |2 ram | |
| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Nonlinear theories | |
| 650 | 4 | |a Quantum chaos | |
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Record in the Search Index
| _version_ | 1825578090701520896 |
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| adam_text |
Contents
1 Introduction 1
2 Dynamical Zeta Functions 3
2.1 Introduction and Motivation 3
2.1.1 Transfer Operators 3
2.1.2 Invariant Function Spaces 4
2.1.3 Quasicompactness 5
2.1.4 Weighted Dynamical Zeta Functions 7
2.2 Commented Bibliography 9
2.2.0 Foundations 9
2.2.1 Surveys 9
2.2.2 Applications 10
2.2.3 Subshifts of Finite Type and Axiom A 10
2.2.4 The Smooth Expanding Case 11
2.2.5 The Smooth Hyperbolic Case 12
2.2.6 The One dimensional Case 13
2.2.7 The One dimensional Case: Kneading Operator Approach . 14
3 Irregular Scattering 21
3.1 Notions of Classical Potential Scattering 21
3.2 Centrally Symmetric Potentials 25
3.3 Scattering by Convex Obstacles 27
3.4 Symbolic Dynamics 36
3.5 Irregular Scattering by Potentials 41
3.6 Time Delay and the Differential Cross Section 43
vi Contents
4 Quantum Chaos 47
4.1 Husimi Functions 50
4.2 Pseudodifferential Operators 56
4.3 Fourier Integral Operators 63
4.4 The Schnirelman Theorem 66
4.5 Further Directions 70
5 Ergodicity and Mixing 75
6 Expanding Maps 79
7 Liouville Surfaces 87
Participants 94
Additional Talks 96
Index 97 |
| any_adam_object | 1 |
| author | Knauf, Andreas Sinaj, Jakov G. 1935- |
| author_GND | (DE-588)124663079 |
| author_facet | Knauf, Andreas Sinaj, Jakov G. 1935- |
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| author_sort | Knauf, Andreas |
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| callnumber-first | Q - Science |
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| callnumber-subject | QC - Physics |
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| ctrlnum | (OCoLC)36407839 (DE-599)BVBBV011205584 |
| dewey-full | 530.15/474 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
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| dewey-search | 530.15/474 |
| dewey-sort | 3530.15 3474 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2025-03-03T13:02:17Z |
| institution | BVB |
| isbn | 3764357088 0817657088 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007516188 |
| oclc_num | 36407839 |
| open_access_boolean | |
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| physical | VI, 98 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series | DMV-Seminar |
| series2 | DMV-Seminar |
| spelling | Knauf, Andreas Verfasser aut Classical nonintegrability, quantum chaos Andreas Knauf ; Yakov G. Sinai. With a contribution by Viviane Baladi Basel [u.a.] Birkhäuser 1997 VI, 98 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier DMV-Seminar 27 Literaturangaben Chaos quantique Dynamique Dynamique ram Théories non linéaires Théories non linéaires ram Dynamics Nonlinear theories Quantum chaos Quantenchaos (DE-588)4130849-9 gnd rswk-swf Zetafunktion (DE-588)4190764-4 gnd rswk-swf Streutheorie (DE-588)4183697-2 gnd rswk-swf Zetafunktion (DE-588)4190764-4 s DE-604 Streutheorie (DE-588)4183697-2 s Quantenchaos (DE-588)4130849-9 s Sinaj, Jakov G. 1935- Verfasser (DE-588)124663079 aut DMV-Seminar 27 (DE-604)BV000020322 27 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007516188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Knauf, Andreas Sinaj, Jakov G. 1935- Classical nonintegrability, quantum chaos DMV-Seminar Chaos quantique Dynamique Dynamique ram Théories non linéaires Théories non linéaires ram Dynamics Nonlinear theories Quantum chaos Quantenchaos (DE-588)4130849-9 gnd Zetafunktion (DE-588)4190764-4 gnd Streutheorie (DE-588)4183697-2 gnd |
| subject_GND | (DE-588)4130849-9 (DE-588)4190764-4 (DE-588)4183697-2 |
| title | Classical nonintegrability, quantum chaos |
| title_auth | Classical nonintegrability, quantum chaos |
| title_exact_search | Classical nonintegrability, quantum chaos |
| title_full | Classical nonintegrability, quantum chaos Andreas Knauf ; Yakov G. Sinai. With a contribution by Viviane Baladi |
| title_fullStr | Classical nonintegrability, quantum chaos Andreas Knauf ; Yakov G. Sinai. With a contribution by Viviane Baladi |
| title_full_unstemmed | Classical nonintegrability, quantum chaos Andreas Knauf ; Yakov G. Sinai. With a contribution by Viviane Baladi |
| title_short | Classical nonintegrability, quantum chaos |
| title_sort | classical nonintegrability quantum chaos |
| topic | Chaos quantique Dynamique Dynamique ram Théories non linéaires Théories non linéaires ram Dynamics Nonlinear theories Quantum chaos Quantenchaos (DE-588)4130849-9 gnd Zetafunktion (DE-588)4190764-4 gnd Streutheorie (DE-588)4183697-2 gnd |
| topic_facet | Chaos quantique Dynamique Théories non linéaires Dynamics Nonlinear theories Quantum chaos Quantenchaos Zetafunktion Streutheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007516188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000020322 |
| work_keys_str_mv | AT knaufandreas classicalnonintegrabilityquantumchaos AT sinajjakovg classicalnonintegrabilityquantumchaos |