Skip to main content
SpringerLink
Log in
Book cover

Stochasticity and Quantum Chaos

Proceedings of the 3rd Max Born Symposium, Sobótka Castle, September 15–17, 1993

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Zbigniew Haba

    1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Wojciech Cegła

    1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Lech Jakóbczyk

    1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 317)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (19 papers)

  1. Front Matter

    Pages i-2
    Download chapter PDF

  2. The Quantal Fattening of Fractals

    • N. L. Balazs
    Pages 3-11

  3. How and When Quantum Phenomena Become Real

    • Ph. Blanchard, A. Jadczyk
    Pages 13-29

  4. Chaotic Dynamics in a Periodically Driven Anharmonic Oscillator

    • Yu. L. Bolotin, V. Yu. Gonchar, M. Ya. Granovsky
    Pages 31-37

  5. Coherent and Incoherent Dynamics in a Periodically Driven Bistable System

    • T. Dittrich, F. Grossmann, P. Hänggi, B. Oelschlägel, R. Utermann
    Pages 39-55

  6. The Ehrenfest Theorem for Markov Diffusions

    • P. Garbaczewski
    Pages 57-62

  7. The Quantum State Diffusion Model, Asymptotic Solutions, Thermal Equilibrium and Heisenberg Picture

    • N. Gisin
    Pages 63-71

  8. Stochastic Representation of Quantum Dynamics

    • Z. Haba
    Pages 73-90

  9. Level Repulsion and Exceptional Points

    • W. D. Heiss, W.-H. Steeb
    Pages 91-98

  10. Type-II Intermittency in the Presence of Additive and Multiplicative Noise

    • H. Herzel, F. Argoul, A. Arneodo
    Pages 99-113

  11. Aspects of Liouville Integrability in Quantum Mechanics

    • J. Hietarinta
    Pages 115-121

  12. KAM Techniques for Time Dependent Quantum Systems

    • H. R. Jauslin
    Pages 123-129

  13. Dissipation and Noise in Quantum Mechanics

    • N. G. Van Kampen
    Pages 131-136

  14. Irregular Scattering, Number Theory, and Statistical Mechanics

    • Andreas Knauf
    Pages 137-148

  15. Band Random Matrices, Kicked Rotator and Disordered Systems

    • Luca Molinari
    Pages 149-160

  16. Robust Scarred States

    • D. Richards
    Pages 161-176

  17. The Quasiclassical Statistical Description of Quantum Dynamical Systems and Quantum Chaos

    • Yu. P. Virchenko
    Pages 177-183

  18. Quantum Measurement by Quantum Brain

    • Mari Jibu, Kunio Yasue
    Pages 185-194

  19. Time Reversal and Gaussian Measures in Quantum Physics

    • J. C. Zambrini
    Pages 195-207

  20. Stochastic Resonance in Bistable Systems with Fluctuating Barriers

    • L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, S. Santucci
    Pages 209-216
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    Zbigniew Haba, Wojciech Cegła, Lech Jakóbczyk

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation