Stochasticity and Quantum Chaos

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

  • Zbigniew Haba
  • Wojciech Cegła
  • Lech Jakóbczyk

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

Table of contents

  1. Front Matter
    Pages i-2
  2. N. L. Balazs
    Pages 3-11
  3. Ph. Blanchard, A. Jadczyk
    Pages 13-29
  4. Yu. L. Bolotin, V. Yu. Gonchar, M. Ya. Granovsky
    Pages 31-37
  5. T. Dittrich, F. Grossmann, P. Hänggi, B. Oelschlägel, R. Utermann
    Pages 39-55
  6. P. Garbaczewski
    Pages 57-62
  7. W. D. Heiss, W.-H. Steeb
    Pages 91-98
  8. N. G. Van Kampen
    Pages 131-136
  9. D. Richards
    Pages 161-176
  10. Mari Jibu, Kunio Yasue
    Pages 185-194
  11. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, S. Santucci
    Pages 209-216
  12. Back Matter
    Pages 217-226

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.


Gaussian measure Stochastic processes Theoretical physics quantum chaos quantum mechanics statistics stochastic process

Editors and affiliations

  • Zbigniew Haba
    • 1
  • Wojciech Cegła
    • 1
  • Lech Jakóbczyk
    • 1
  1. 1.Institute of Theoretical PhysicsUniversity of WrocławWrocławPoland

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