The Mathematical Aspects of Quantum Maps (Lecture Notes in Physics)
Contributors: Mirko Degli Esposti (Editor); Sandro Graffi (Editor)
Edition: 1 edition
Publisher: Springer
Published: August 5, 2003
Language: eng
Format: Hardcover
Number of pages: 175
ISBN-13: 9783540026235
Subjects: Quantum physics (quantum mechanics); Science; Physics; Science/Mathematics; Algebra - General; Quantum Theory; Science / Quantum Theory; General; Quantum maps
First sentence: Isaac Newton had one insight that he considered to be so fundamental that he kept it secret: "It is useful to solve differential equations."1
Description: 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.