Ebook: The Mathematical Aspects of Quantum Maps
- Tags: Quantum Physics, Algebra, Computational Mathematics and Numerical Analysis, Mathematical and Computational Physics, Mathematical Methods in Physics, Complexity
- Series: Lecture Notes in Physics 618
- Year: 2003
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages I-X
Introduction to Dynamical Systems....Pages 1-24
Number Theoretic Background....Pages 25-47
Mathematical Aspects of Quantum Maps....Pages 49-90
Numerical Aspects of Eigenvalue and Eigenfunction Computations for Chaotic Quantum Systems....Pages 91-144
From Normal to Anomalous Deterministic Diffusion....Pages 145-170
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.
Content:
Front Matter....Pages I-X
Introduction to Dynamical Systems....Pages 1-24
Number Theoretic Background....Pages 25-47
Mathematical Aspects of Quantum Maps....Pages 49-90
Numerical Aspects of Eigenvalue and Eigenfunction Computations for Chaotic Quantum Systems....Pages 91-144
From Normal to Anomalous Deterministic Diffusion....Pages 145-170
....