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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...

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...

Questo libro ha lo scopo di familiarizzare gli studenti con aspetti anche abbastanza moderni della teoria dei sistemi dinamici facendo quasi del tutto a meno dell'apparato matematico di analisi, algebra e geometria. L'uso della simulazione numerica al calcolatore, sempre piu importante nello studio dei sistemi dinamici, costituisce parte integrante di questo processo. Oltre ad abituare fin da subito gli studenti a mettere le mani sul calcolo scientifico, si mira a far si che la presentazione di questi argomenti possa contribuire a due ulteriori processi formativi di sicuro valore: da una...