Quantization. (English. Russian original) Zbl 0312.53049

Math. USSR, Izv. 8(1974), 1109-1165 (1975); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 38, 1116-1175 (1974).
Summary: 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 \(\mathbb C^n\) with a Bergman metric, and also the two-dimensional cylinder and torus.


53C55 Global differential geometry of Hermitian and Kählerian manifolds
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