TY - BOOK AU - Esposti,Mirko Degli AU - Graffi,Sandro ED - SpringerLink (Online service) TI - The Mathematical Aspects of Quantum Maps T2 - Lecture Notes in Physics, SN - 9783540370451 PY - 2003/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Physics KW - Algebra KW - Computer science KW - Mathematics KW - Quantum theory KW - Mathematical physics KW - Engineering KW - Quantum Physics KW - Computational Mathematics and Numerical Analysis KW - Mathematical and Computational Physics KW - Mathematical Methods in Physics KW - Complexity N1 - to Dynamical Systems -- Number Theoretic Background -- Mathematical Aspects of Quantum Maps -- Numerical Aspects of Eigenvalue and Eigenfunction Computations for Chaotic Quantum Systems -- From Normal to Anomalous Deterministic Diffusion N2 - 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 UR - http://dx.doi.org/10.1007/3-540-37045-5 ER -