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Quantization of the Sphere with Coherent States
Authors:Marc Lachièze Rey  Jean-Pierre Gazeau  Eric Huguet  Jacques Renaud  Tarik Garidi
Affiliation:(1) Fédération de Recherches Astroparticules et Cosmologie, Université Paris 7 Denis Diderot, Paris Cedex, France;(2) Service d'Astrophysique, C.E. Saclay, Gif sur Yvette cedex, France
Abstract:Current views link quantization with dynamics. The reason is that quantum mechanics or quantum field theories address to dynamical systems, i.e., particles or fields. Our point of view here breaks the link between quantization and dynamics: any (classical) physical system can be quantized. Only dynamical systems lead to dynamical quantum theories, which appear to result from the quantization of symplectic structures.
Keywords:quantization  sphere  coherent states
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