The mathematical aspects of quantum maps
著者
書誌事項
The mathematical aspects of quantum maps
(Lecture notes in physics, v. 618)(Physics and astronomy online library)
Springer, c2003
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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