1.

Record Nr.

UNINA9910139818303321

Titolo

The Mathematical Aspects of Quantum Maps / / edited by Mirko Esposti, Sandro Graffi

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003

ISBN

3-540-37045-5

Edizione

[1st ed. 2003.]

Descrizione fisica

1 online resource (XI, 171 p.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 618

Disciplina

530.12

Soggetti

Quantum theory

Algebra

Computer science - Mathematics

Mathematical physics

Physics

Statistical physics

Dynamics

Quantum Physics

Computational Mathematics and Numerical Analysis

Theoretical, Mathematical and Computational Physics

Mathematical Methods in Physics

Complex Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.