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dc.contributor.author | Gurevich D. | |
dc.contributor.author | Rubtsov V. | |
dc.contributor.author | Zobin N. | |
dc.date.accessioned | 2018-09-17T20:44:34Z | |
dc.date.available | 2018-09-17T20:44:34Z | |
dc.date.issued | 1992 | |
dc.identifier.issn | 0393-0440 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/133973 | |
dc.description.abstract | We suggest an approach to the quantization problem of two compatible Poisson brackets in the case when one of them is associated with a solution of the classical Yang-Baxter equation. We show that the quantization scheme (a Poisson bracket → an associate algebra, quantizing this bracket in the spirit of the Berezin-Lichnerovicz deformation quantization → its representation in a Hilbert space) has to be enlarged. We represent the deformation algebras, quantizing the "R-matrix" brackets, in a space with an S-symmetric pairing, where S is a solution of the corresponding quantum Yang-Baxter equation. An example of quantization of an "exotic" harmonic oscillator is discussed. © 1992. | |
dc.relation.ispartofseries | Journal of Geometry and Physics | |
dc.subject | cocycle | |
dc.subject | deformation quantization | |
dc.subject | quantum Yang-Baxter equation | |
dc.subject | R-matrix | |
dc.title | Quantization of poisson pairs: the R-matrix approach | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 1 | |
dc.relation.ispartofseries-volume | 9 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 25 | |
dc.source.id | SCOPUS03930440-1992-9-1-SID0010133029 |