Journal of Statistical Physics

, Volume 53, Issue 1–2, pp 457–474 | Cite as

Quantization of nonintegrable maps

  • Robert H. G. Helleman
Articles
  • 25 Downloads

Abstract

Using Heisenberg's matrix formulation of quantum mechanics, a method is given for quantizing volume-preserving polynomial mappings. The energy levels of the linear map are obtained exactly and those of the cubic, nonintegrable map are obtained approximately and numerically.

Key words

Nonintegrable maps quasi-energy levels matrix mechanics 

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Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • Robert H. G. Helleman
    • 1
  1. 1.Physics DepartmentUniversity of HoustonHouston

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