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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 53, Number 3, Pages 374–387 (Mi tmf2625)  

This article is cited in 6 scientific papers (total in 6 papers)

Quantization of symplectic manifolds with conical points

M. V. Karasev, V. P. Maslov
References:
Abstract: Quantization of a general nonlinear phase manifold X in the quasicIassical approximation leads to the two-dimensional analog of the Bohr–Sommerfeld conditions, in which the form pdq is replaced by dpΛdq and the vacuum energy h/2 by hν/2, where ν is the index of two-dimensional noncontractable cycles in X . A study is made of smooth manifolds X on which the index ν is integral and manifolds with conical singularities, on which ν can take half-integral values. Smooth functions f on X are associated with operators ˆf that act on the sections of a ertain sheaf and locally have the form ˆf=f(q,ih/q), h0.
Received: 02.08.1982
English version:
Theoretical and Mathematical Physics, 1982, Volume 53, Issue 3, Pages 1186–1195
DOI: https://doi.org/10.1007/BF01027798
Bibliographic databases:
Language: Russian
Citation: M. V. Karasev, V. P. Maslov, “Quantization of symplectic manifolds with conical points”, TMF, 53:3 (1982), 374–387; Theoret. and Math. Phys., 53:3 (1982), 1186–1195
Citation in format AMSBIB
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\by M.~V.~Karasev, V.~P.~Maslov
\paper Quantization of symplectic manifolds with conical points
\jour TMF
\yr 1982
\vol 53
\issue 3
\pages 374--387
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=693609}
\zmath{https://zbmath.org/?q=an:0515.53032}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 53
\issue 3
\pages 1186--1195
\crossref{https://doi.org/10.1007/BF01027798}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982QZ66700005}
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  • https://www.mathnet.ru/eng/tmf/v53/i3/p374
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :229
    References:105
    First page:5
     
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