The Quantization of Integrable Systems

  • Martin C. Gutzwiller
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 1)


Quantum mechanics was first developed and tried out on a few integrable systems, such as the harmonic oscillator, the hydrogen atom, and the electron in a rectangular box. In spite of the conceptual differences between the classical and the quantal regimie, the mathematical connection is quite close in these special cases. Some of the relevant methods can be carried over into systems with soft chaos, and seem to yield reasonable results, as if quantum mechanics were capable of riding smoothly over the rough spots in classical mechanics.


Wave Function Phase Space Periodic Orbit Integrable System Position Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Martin C. Gutzwiller
    • 1
  1. 1.IBM T.J. Watson Research CenterYorktown HeightsUSA

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