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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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These are the proceedings of the Third Max Born Symposium which took place at SobOtka Castle in September 1993. The Symposium is organized annually by the Institute of Theoretical Physics of the University of Wroclaw. Max Born was a student and later on an assistant at the University of Wroclaw (Wroclaw belonged to Germany at this time and was called Breslau). The topic of the Max Born Sympo­ sium varies each year reflecting the developement of theoretical physics. The subject of this Symposium "Stochasticity and quantum chaos" may well be considered as a continuation of the research interest of Max Born. Recall that Born treats his "Lectures on the mechanics of the atom" (published in 1925) as a nrst volume of a complete monograph (supposedly to be written by another person). His lectures concern the quantum mechanics of integrable systems. The quantum mechanics of non-integrable systems was the subject of the Third Max Born Symposium. It is known that classical non-integrable Hamiltonian systems show a chaotic behaviour. On the other hand quantum systems bounded in space are quasiperi­ odic. We believe that quantum systems have a reasonable classical limit. It is not clear how to reconcile the seemingly regular behaviour of quantum systems with the possible chaotic properties of their classical counterparts. The quantum proper­ ties of classically chaotic systems constitute the main subject of these Proceedings. Other topics discussed are: the quantum mechanics of dissipative systems, quantum measurement theory, the role of noise in classical and quantum systems.

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