Berezin, F. A. 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. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 149 Documents MSC: 53C55 Global differential geometry of Hermitian and Kählerian manifolds PDF BibTeX XML Cite \textit{F. A. Berezin}, Math. USSR, Izv. 8, 1109--1165 (1975; Zbl 0312.53049); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 38, 1116--1175 (1974) Full Text: DOI OpenURL