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Quantum Signatures of Chaos

Author: Fritz Haake
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2001.
Series: Springer series in synergetics, 54.
Edition/Format:   eBook : Document : English : Second rev. and enlarged editionView all editions and formats
Database:WorldCat
Summary:
This textbook provides an excellent introduction to a new and rapidly developing field of research. The topics treated include a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria to distinguish regular and irregular motion, antiunitary symmetries (generalized time reversal) and a thorough account of the quantum mechanics of dissipative systems. Each chapter is accompanied by a  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fritz Haake
ISBN: 9783662045060 3662045060
OCLC Number: 851372061
Description: 1 online resource (xx, 479 pages).
Contents: From the contents: Introduction --
Time Reversal and Unitary Symmetries --
Level Repulsion --
Random-Matrix Theory --
Level Clustering --
Level Dynamics --
Quantum Localization --
Semiclassical Roles for Classical Orbits --
Dissipative Systems --
Superanalysis for Random-Matrix Theory.
Series Title: Springer series in synergetics, 54.
Responsibility: by Fritz Haake.

Abstract:

This textbook provides an excellent introduction to a new and rapidly developing field of research. The topics treated include a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria to distinguish regular and irregular motion, antiunitary symmetries (generalized time reversal) and a thorough account of the quantum mechanics of dissipative systems. Each chapter is accompanied by a selection of problems which will help the student to test and deepen his/her understanding and to acquire an active command of the methods. The second edition is significantly expanded. Of the considerable theoretical progress lately achieved, the book focusses on the deeper statistical exploitation of level dynamics, improved control of semiclassical periodic-orbit expansions, and superanalytic techniques for dealing with various types of random matrices.

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