Overview

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.

Full Product Details

Author:   Z. Haba ,  Wojciech Cegla ,  Lech Jakóbczyk
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   317
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.130kg
ISBN:  

9780792332305

ISBN 10:   079233230
Pages:   226
Publication Date:   31 January 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

The quantal fattening of fractals.- How and when quantum phenomena become real.- Chaotic dynamics in a periodically driven anharmonic oscillator.- Coherent and incoherent dynamics in a periodically driven bistable system.- The Ehrenfest theorem for Markov diffusions.- The quantum state diffusion model, asymptotic solutions, thermal equilibrium and Heisenberg picture.- Stochastic representation of quantum dynamics.- Level repulsion and exceptional points.- Type-II intermittency in the presence of additive and multiplicative noise.- Aspects of Liouville integrability in quantum mechanics.- KAM techniques for time dependent quantum systems.- Dissipation and noise in quantum mechanics.- Irregular scattering, number theory, and statistical mechanics.- Band random matrices, kicked rotator and disordered systems.- Robust scarred states.- The quasiclassical statistical description of quantum dynamical systems and quantum chaos.- Quantum measurement by quantum brain.- Time reversal and Gaussian measures in quantum physics.- Stochastic resonance in bistable systems with fluctuating barriers.- List of participants.

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