Quantum Chaos Bibliography

• Non-technical articles
  • "Quantum chaos", R. V. Jensen, Nature 23 January 1992, p. 311. This is a great place to start and it is written by one of the leading researchers in the field.
  • "Quantum Chaos", M. C. Gutzwiller, Scientific American January 1992, p. 78. Another good introduction written by a researcher who made on of the most exciting discoveries in the area of quantum chaos. Also see Gutzwiller's book listed below.
  • "Quantum physics on the edge of chaos", M. Berry, New Scientist 19 November 1987, p. 44. An early introduction to quantum chaos by an eminent physicist.
  • "Classical Mechanics, Quantum Mechanics, and the Arrow of Time", T. A. Heppenheimer, MOSAIC Summer 1989, p. 2. Although not written by a researcher, this article provides a broad introduction to the work of several groups in the field.
• Technical textbooks
  • Chaos in Classical and Quantum Mechanics, M. C. Gutzwiller, Springer-Verlag, New York (1990). Focuses on the relation between quantum eigenvalues and classical periodic orbits, work done mostly by Gutzwiller himself.
  • The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations, L. E. Reichl, Springer-Verlag, New York (1992). Contains a wealth of information. Written by my thesis advisor, so I may be a bit biased.
  • Quantum Signatures of Chaos, F. Haake, Springer-Verlag, New York (1992). Focuses on statistical properties of eigenvalues and their relation to chaos.
  • Quantum Chaos: An Introduction, H.-J. Stockmann, Cambridge University Press, Cambridge (2000). This is a new introduction to the subject that I have not yet had the chance to read.

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