Quantum Signatures of Chaos

  • Fritz Haake

Part of the Springer Series in Synergetics book series (SSSYN, volume 54)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Fritz Haake
    Pages 1-14
  3. Fritz Haake
    Pages 15-46
  4. Fritz Haake
    Pages 47-59
  5. Fritz Haake
    Pages 61-143
  6. Fritz Haake
    Pages 145-168
  7. Fritz Haake
    Pages 169-245
  8. Fritz Haake
    Pages 247-278
  9. Fritz Haake
    Pages 279-339
  10. Fritz Haake
    Pages 341-381
  11. Fritz Haake
    Pages 383-480
  12. Fritz Haake
    Pages 481-567
  13. Back Matter
    Pages 569-576

About this book


This by now classic text provides an excellent introduction and survey to the continuously expanding field of quantum chaos . The topics treated include a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria to distinguish regular and irregular motion, antiunitary symmetries (generalized time reversal), random matrix theory and a thorough account of the quantum mechanics of dissipative systems. Each chapter is accompanied by a selection of problems which will help the newcomer to test and deepen his/her understanding and to acquire an active command of the methods presented.

In addition to a significant number of smaller revisions and chapter updates, the third edition thoroughly expands on the understanding of universal spectral fluctuations, and – to subsequently make the presentation of all semi-classical developments self-contained - a new chapter on classical Hamiltonian chaos has been inserted.

From the reviews of the 2nd edition: In summary, this is definitely an essential reference book for the specialist. It will also ably serve someone entering the field for the first time who needs to learn the theoretical state of the art in detail." (G. Summy ,University of Oxford, Contemporary Physics 2002, vol. 43, p 232)


Chaos Clustering classical Hamiltonian chaos dissipative systems level dynamics linear optimization matrix theory mechanics quantum chaos quantum localization quantum mechanics quantum time evolution random matrices universal spectral fluctuations

Authors and affiliations

  • Fritz Haake
    • 1
  1. 1.FB 7 PhysikUniversität Duisburg-EssenEssenGermany

Bibliographic information