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Geometrical framework of quantization problem. (English) Zbl 1234.81095

Summary: The basic elements of the geometric approach to a consistent quantization formalism are summarized, with reference to the methods of the old quantum mechanics and the induced representations theory of Lie groups. A possible relationship between quantization and phase-space discretization is briefly discussed.

MSC:

81S10 Geometry and quantization, symplectic methods
53D50 Geometric quantization
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
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