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Stochasticity and Quantum Chaos : Proceedings of the 3rd Max Born Symposium, Sobotka Castle, September 15-17, 1993 - Zbigniew Haba

Stochasticity and Quantum Chaos

Proceedings of the 3rd Max Born Symposium, Sobotka Castle, September 15-17, 1993

By: Zbigniew Haba (Editor), Wojciech Cegla (Editor), Lech Jakobczyk (Editor)

Hardcover Published: 31st January 1995
ISBN: 9780792332305
Number Of Pages: 226

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This volume covers a wide range of problems in the quantum mechanics of non-integrable systems, presented by experts in the field. The main part of the work concerns quantum chaos and dynamical aspects of chaos in particular. Among the subjects which are treated are: periodic perturbations, small denominators in quantum mechanics, tunnelling in the presence of a periodic perturbation, chaotic scattering, quantum maps, level statistics of chaotic systems and random matrices. The papers are concerned with mathematically rigorous derivations of results, as well as with their physical applications, such as scattering, ionization and tunnelling. The papers discuss recent results which have not been published in book form before. All contributors present new methods to approach quantum chaos rather than extending conventional techniques. This book is intended for specialists in the field of dynamical systems, quantum mechanics and stochastic processes. It can also serve as an introduction to graduate and postgraduate students of theoretical physics and mathematics.

Forewordp. 1
The quantal fattening of fractalsp. 3
How and when quantum phenomena become realp. 13
Chaotic dynamics in a periodically driven anharmonic oscillatorp. 31
Coherent and incoherent dynamics in a periodically driven bistable systemp. 39
The Ehrenfest theorem for Markov diffusionsp. 57
The quantum state diffusion model, asymptotic solutions, thermal equilibrium and Heisenberg picturep. 63
Stochastic representation of quantum dynamicsp. 73
Level repulsion and exceptional pointsp. 91
Type-II intermittency in the presence of additive and multiplicative noisep. 99
Aspects of Liouville integrability in quantum mechanicsp. 115
KAM techniques for time dependent quantum systemsp. 123
Dissipation and noise in quantum mechanicsp. 131
Irregular scattering, number theory, and statistical mechanicsp. 137
Band random matrices, kicked rotator and disordered systemsp. 149
Robust scarred statesp. 161
The quasiclassical statistical description of quantum dynamical systems and quantum chaosp. 177
Quantum measurement by quantum brainp. 185
Time reversal and Gaussian measures in quantum physicsp. 195
Stochastic resonance in bistable systems with fluctuating barriersp. 209
Indexp. 217
List of participantsp. 219
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792332305
ISBN-10: 079233230X
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 226
Published: 31st January 1995
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.42
Weight (kg): 1.13