Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology / Edited by Jens Bolte, Frank Steiner.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 397Publisher: Cambridge : Cambridge University Press, 2011Description: 1 online resource (284 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139108782 (ebook)Other title: Hyperbolic Geometry & Applications in Quantum Chaos & CosmologySubject(s): Geometry, Hyperbolic | Cosmology | Quantum chaosAdditional physical formats: Print version: : No titleDDC classification: n/a LOC classification: QA685 | .H97 2012Online resources: Click here to access online 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
IMSc Library | IMSc Library | Link to resource | Available | EBK12016 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
There are no comments on this title.