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This article is cited in 7 scientific papers (total in 7 papers)
Dynamical correspondence in algebraic Lagrangian geometry
N. A. Tyurin Joint Institute for Nuclear Research
Abstract:
In this paper, which is a continuation of [12], we develop the idea of applying Abelian Lagrangian algebraic geometry (see [3], [4], [10], [11]) to geometric quantization. The Dirac correspondence principle holds for this ALG(a)-quantization. The known models of geometric quantization involving the choice of real or complex polarizations are presented as reductions (or linearizations) of the proposed quantization. This enables us to link the results
of known constructions that use polarizations.
Received: 25.01.2002
Citation:
N. A. Tyurin, “Dynamical correspondence in algebraic Lagrangian geometry”, Izv. RAN. Ser. Mat., 66:3 (2002), 175–196; Izv. Math., 66:3 (2002), 611–629
Linking options:
https://www.mathnet.ru/eng/im391https://doi.org/10.1070/IM2002v066n03ABEH000391 https://www.mathnet.ru/eng/im/v66/i3/p175
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Abstract page: | 401 | Russian version PDF: | 243 | English version PDF: | 20 | References: | 54 | First page: | 1 |
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