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Izvestiya: Mathematics, 2001, Volume 65, Issue 4, Pages 823–834
DOI: https://doi.org/10.1070/IM2001v065n04ABEH000353 (Mi im353) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The correspondence principle in Abelian Lagrangian geometry

N. A. Tyurin

Moscow State University of Transportation
English version PDF (169 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM2001v065n04ABEH000353
Abstract: We present a new idea of quantization of classical mechanical systems, which uses the constructions of [2], [7] and [1]. As a first step, we verify the correspondence between the Poisson brackets on the initial symplectic manifold and on the moduli space of half-weighted Bohr–Sommerfeld Lagrangian cycles of a fixed volume.
Received: 26.09.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 4, Pages 191–204
DOI: https://doi.org/10.4213/im353
Bibliographic databases:
MSC: 53D50, 53C15
Language: English
Original paper language: Russian
Citation: N. A. Tyurin, “The correspondence principle in Abelian Lagrangian geometry”, Izv. RAN. Ser. Mat., 65:4 (2001), 191–204; Izv. Math., 65:4 (2001), 823–834
Citation in format AMSBIB
\Bibitem{Tyu01}
\by N.~A.~Tyurin
\paper The correspondence principle in Abelian Lagrangian geometry
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 4
\pages 191--204
\mathnet{http://mi.mathnet.ru/im353}
\crossref{https://doi.org/10.4213/im353}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857716}
\zmath{https://zbmath.org/?q=an:1034.53094}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 4
\pages 823--834
\crossref{https://doi.org/10.1070/IM2001v065n04ABEH000353}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27844567810}
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  • https://www.mathnet.ru/eng/im/v65/i4/p191
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:465
    Russian version PDF:193
    English version PDF:13
    References:61
    First page:1
     
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