Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology

Klappentext Leading experts introduce this classical subject with exciting new applications in theoretical physics. Zusammenfassung 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. Inhaltsverzeichnis Preface; 1. Hyperbolic geometry A. Aigon-Dupuy, P. Buser and K.-D. Semmler; 2. Selberg's trace formula: an introduction J. Marklof; 3. Semiclassical approach to spectral correlation functions M. Sieber; 4. Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions D. H. Mayer; 5. On the calculation of Maass cusp forms D. A. Hejhal; 6. Maass waveforms on (¿0(N), x) (computational aspects) Fredrik Strömberg; 7. Numerical computation of Maass waveforms and an application to cosmology R. Aurich, F. Steiner and H. Then.

Product details

• Authors: Jens Bolte, Jens (Dr Bolte, Jens Steiner Bolte, BOLTE JENS STEINER FRANKLIN
• Assisted by: Jens Bolte (Editor), Jens (Dr Bolte (Editor), Frank Steiner (Editor), Frank (Universitat Ulm Steiner (Editor), Professor Frank Steiner (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 15.12.2011
• EAN: 9781107610491
• ISBN: 978-1-107-61049-1
• No. of pages: 284
• Series: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous