Geodesic
Quantization
Izvestiya. Mathematics , Tome 8 (1974) no. 5, pp. 1109-1165.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we propose a general definition for the quantization of classical mechanics with an arbitrary phase space. We consider the case where the phase space is a complex Kählerian manifold. As an example we consider uniform bounded regions in $C^n$ with a Bergman metric, and also the two-dimensional cylinder and torus. 
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F. A. Berezin. Quantization. Izvestiya. Mathematics , Tome 8 (1974) no. 5, pp. 1109-1165. http://geodesic.mathdoc.fr/item/IM2_1974_8_5_a6/

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