Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology - Couverture souple

Livre 326 sur 387: London Mathematical Society Lecture Notes
 
9781107610491: Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology
Couverture souple
ISBN 10 : 1107610494 ISBN 13 : 9781107610491
Editeur : Cambridge University Press, 2011

Synopsis

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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À propos des auteurs

Jens Bolte joined the Department of Mathematics at Royal Holloway, University of London, in 2007. He works in the field of quantum chaos and is, in particular, interested in arithmetic quantum chaos, semiclassical quantum mechanics and quantum graph models.

Frank Steiner is a Professor at Ulm University. He has spent sabbaticals at CERN and the Universities of Geneva, Lausanne, Paris and Princeton. His present areas of research are quantum graph models and cosmology.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
1107610494
ISBN 13 
9781107610491
Reliure
Broché
Nombre de pages
286
Éditeur
Bolte Jens
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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