Quantization and Coherent States on the 2-Torus

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


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.


Coherent State Unbiased Basis Weyl Quantization Unique Invariant Measure Generalize Coherent State 
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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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