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Quantization and Coherent States on the 2-Torus

  • Monique Combescure
  • Didier Robert
Part of the Theoretical and Mathematical Physics book series (TMP)

Abstract

The two dimensional torus \(\mathbb {T}^{2}\) is a very simple symplectic space. Nevertheless it gives non trivial examples of chaotic dynamical systems. These systems can be quantized in a natural way. We shall study some dynamical and spectral properties of them.

Keywords

Coherent State Unbiased Basis Weyl Quantization Unique Invariant Measure Generalize Coherent State 
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 B.V. 2012

Authors and Affiliations

  • Monique Combescure
    • 1
  • Didier Robert
    • 2
  1. 1.Batiment Paul DiracIPNLVilleurbanneFrance
  2. 2.Laboratoire Jean-Leray Departement de MathematiquesNantes UniversityNantes Cedex 03France

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