The Mathematical Aspects of Quantum Maps

• Corporate Author: SpringerLink (Online service)
• Other Authors: Esposti, Mirko (Editor, http://id.loc.gov/vocabulary/relators/edt), Graffi, Sandro (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Physics, 618
• Subjects: Quantum physics.; Algebra.; Computer mathematics.; Mathematical physics.; Physics.; Statistical physics.; Dynamical systems.; Quantum Physics.; Computational Mathematics and Numerical Analysis.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.; Complex Systems.
• Physical Description: XI, 171 p. online resource.
• ISBN: 9783540370451
• ISSN: 0075-8450 ;
• DOI: 10.1007/3-540-37045-5

Quantum maps are presented with special emphasis on their physical origin. They represent a testing ground for understanding concepts in quantized chaotic systems. The book develops and teaches the modern mathematical methods from analytic and algebraic number theory as applied to quantum maps. It gives a broad and in-depth overview of the mathematical problems arising in this area. Also treated are the numerical aspects in quantum chaos such as eigenvalue and eigenfunctions computations for chaotic quantum systems. The book addresses scientists and advanced students in mathematics and mathematical physics.