Abstract
The general definition of quantization is proposed. As an example two classical systems are considered. For the first of them the phase space is a Lobachevskii plane, for the second one the two-dimensional sphere.
Similar content being viewed by others
References
Weyl, H.: Gruppentheorie und Quantenmechanik. Leipzig, 1931
Berezin, F.A.: Funktzionalnyi analiz i ego prilozheniya,1, 1–14 (1967) (in Russian)
Berezin, F.A.: Dokl. Akad. Nauk SSSR,211 (No. 6) (1973) (in Russian)
Berezin, F.A.: Quantization on bounded complex symmetric. Izv. Akad. Nauk SSSR, ser. mat., in press (1974) (in Russian)
Berezin, F.A.: Izv. Akad. Nauk, ser. mat.36 (No. 5) (1972); (in Russian). English translation: USSR Izv.6 (No. 5) (1972)
Bergmann, S.: The Kernel function and conformal mapping. A.M.S. Publ. 1950
Berezin, F.A.: Quantization. Izv. Akad. Nauk SSSR, ser. mat. in press (1974) (in Russian)
Monastyirski, M.I., Perelomov, A.M.: Dokl. Akad. Nauk SSSR207, 1303–1305 (1972)
Lieb, E.H.: Commun. math. Phys.31, 327–340 (1973)
Author information
Authors and Affiliations
Additional information
Communicated by R. Haag
The Moscow State University.
Rights and permissions
About this article
Cite this article
Berezin, F.A. General concept of quantization. Commun.Math. Phys. 40, 153–174 (1975). https://doi.org/10.1007/BF01609397
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01609397