Hyperbolic geometry and applications in quantum chaos and cosmology /:
Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2012.
|
| Series: | London Mathematical Society lecture note series ;
397. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace-Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject. |
| Physical Description: | 1 online resource (xi, 272 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781107089938 110708993X 9781139108782 1139108786 1139887734 9781139887731 1107096200 9781107096202 1107101808 9781107101807 1107093112 9781107093119 |
Staff View
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| author2 | Bölte, Jens Steiner, F. (Frank), 1943- |
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| contents | Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then. |
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| dewey-raw | 516.9 |
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| discipline | Physik Mathematik |
| format | Electronic eBook |
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| indexdate | 2025-03-18T14:21:14Z |
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| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 272 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Hyperbolic geometry and applications in quantum chaos and cosmology / edited by Jens Bolte, Frank Steiner. Cambridge, UK ; New York : Cambridge University Press, 2012. 1 online resource (xi, 272 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 397 Includes bibliographical references and index. Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then. Print version record. Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace-Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject. English. Geometry, Hyperbolic. http://id.loc.gov/authorities/subjects/sh85054149 Cosmology. http://id.loc.gov/authorities/subjects/sh85033169 Quantum chaos. http://id.loc.gov/authorities/subjects/sh92000828 Géométrie hyperbolique. Cosmologie. Chaos quantique. cosmology. aat MATHEMATICS Geometry Non-Euclidean. bisacsh Cosmology fast Geometry, Hyperbolic fast Quantum chaos fast Hyperbolische Geometrie gnd http://d-nb.info/gnd/4161041-6 Kosmologie gnd http://d-nb.info/gnd/4114294-9 Quantenchaos gnd http://d-nb.info/gnd/4130849-9 Bölte, Jens. edt Steiner, F. (Frank), 1943- edt http://id.loc.gov/authorities/names/n98050197 has work: Hyperbolic geometry and applications in quantum chaos and cosmology (Text) https://id.oclc.org/worldcat/entity/E39PCGjqHhfqQ98DCHMGg6cMfq https://id.oclc.org/worldcat/ontology/hasWork Print version: Hyperbolic geometry and applications in quantum chaos and cosmology. Cambridge, UK ; New York : Cambridge University Press, 2012 9781107610491 (DLC) 2012360936 (OCoLC)759914969 London Mathematical Society lecture note series ; 397. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Hyperbolic geometry and applications in quantum chaos and cosmology / London Mathematical Society lecture note series ; Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then. Geometry, Hyperbolic. http://id.loc.gov/authorities/subjects/sh85054149 Cosmology. http://id.loc.gov/authorities/subjects/sh85033169 Quantum chaos. http://id.loc.gov/authorities/subjects/sh92000828 Géométrie hyperbolique. Cosmologie. Chaos quantique. cosmology. aat MATHEMATICS Geometry Non-Euclidean. bisacsh Cosmology fast Geometry, Hyperbolic fast Quantum chaos fast Hyperbolische Geometrie gnd http://d-nb.info/gnd/4161041-6 Kosmologie gnd http://d-nb.info/gnd/4114294-9 Quantenchaos gnd http://d-nb.info/gnd/4130849-9 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054149 http://id.loc.gov/authorities/subjects/sh85033169 http://id.loc.gov/authorities/subjects/sh92000828 http://d-nb.info/gnd/4161041-6 http://d-nb.info/gnd/4114294-9 http://d-nb.info/gnd/4130849-9 |
| title | Hyperbolic geometry and applications in quantum chaos and cosmology / |
| title_auth | Hyperbolic geometry and applications in quantum chaos and cosmology / |
| title_exact_search | Hyperbolic geometry and applications in quantum chaos and cosmology / |
| title_full | Hyperbolic geometry and applications in quantum chaos and cosmology / edited by Jens Bolte, Frank Steiner. |
| title_fullStr | Hyperbolic geometry and applications in quantum chaos and cosmology / edited by Jens Bolte, Frank Steiner. |
| title_full_unstemmed | Hyperbolic geometry and applications in quantum chaos and cosmology / edited by Jens Bolte, Frank Steiner. |
| title_short | Hyperbolic geometry and applications in quantum chaos and cosmology / |
| title_sort | hyperbolic geometry and applications in quantum chaos and cosmology |
| topic | Geometry, Hyperbolic. http://id.loc.gov/authorities/subjects/sh85054149 Cosmology. http://id.loc.gov/authorities/subjects/sh85033169 Quantum chaos. http://id.loc.gov/authorities/subjects/sh92000828 Géométrie hyperbolique. Cosmologie. Chaos quantique. cosmology. aat MATHEMATICS Geometry Non-Euclidean. bisacsh Cosmology fast Geometry, Hyperbolic fast Quantum chaos fast Hyperbolische Geometrie gnd http://d-nb.info/gnd/4161041-6 Kosmologie gnd http://d-nb.info/gnd/4114294-9 Quantenchaos gnd http://d-nb.info/gnd/4130849-9 |
| topic_facet | Geometry, Hyperbolic. Cosmology. Quantum chaos. Géométrie hyperbolique. Cosmologie. Chaos quantique. cosmology. MATHEMATICS Geometry Non-Euclidean. Cosmology Geometry, Hyperbolic Quantum chaos Hyperbolische Geometrie Kosmologie Quantenchaos |
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