Quantum Chaos as Basis for Statistical Mechanics

  • N. G. van Kampen
Part of the NATO ASI Series book series (NSSB, volume 120)


Quantum chaos cannot be defined through correspondence with classical chaos, but only through its function as a basis for statistical behavior. The foundations of quantum statistics are outlined and the steps that rely on chaos are emphasized. Finally a simplified model of dissociation is given as an example.


Quantum System Wave Packet Classical System Phase Cell Quantum Chaos 
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    Non-autonomous equations can of course be cast in this form by introducing one additional variable xn+1 = t. We shall not consider non-autonomous quantum systems, see e.g. T. Hogg and B.A. Huberman, Phys. Rev. Letters 48, 711 (1982); G. Casati and I. Guarneri, Phys. Rev. Letters 50, 640 (1983).Google Scholar
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Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • N. G. van Kampen
    • 1
  1. 1.Institute for Theoretical Physics of the University at UtrechtUtrechtThe Netherlands

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