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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...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2012.
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| Colección: | London Mathematical Society lecture note series ;
397. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xi, 272 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781107089938 110708993X 9781139108782 1139108786 1139887734 9781139887731 1107096200 9781107096202 1107101808 9781107101807 1107093112 9781107093119 |