Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
1107610494
ISBN-13
9781107610491
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Dec 15th, 2011
Print length
284 Pages
Weight
432 grams
Dimensions
22.60 x 15.40 x 0.90 cms
Ksh 10,250.00
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Quantum chaos and cosmology are areas of theoretical physics where models involving hyperbolic manifolds and the spectral theory of Maass waveforms have exciting applications. In this book leading experts provide a valuable exposition of hyperbolic geometry and its applications to graduate students and researchers.
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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