The Mathematical Aspects of Quantum Maps

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 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.

List of contents

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.

Summary

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 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.

Product details

• Assisted by: M. D. Esposti (Editor), Mirk Esposti (Editor), Mirko Esposti (Editor), Mirko Degli Esposti (Editor), Graffi (Editor), Graffi (Editor), S. Graffi (Editor), Sandro Graffi (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 12.06.2003
• EAN: 9783540026235
• ISBN: 978-3-540-02623-5
• No. of pages: 171
• Weight: 376 g
• Illustrations: XI, 171 p.
• Series: Lecture Notes in Physics; Lecture Notes in Physics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Algebra, C, Kybernetik und Systemtheorie, Physics, Complex systems, Theoretical, Mathematical and Computational Physics, Computational Mathematics and Numerical Analysis, Quantum Physics, Physics and Astronomy, Mathematical physics, Computer mathematics, Numerical analysis, Dynamical systems, Mathematical Methods in Physics, Dynamics & statics, Statistical physics