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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 180, Pages 3–8 (Mi znsl4705)  

This article is cited in 1 scientific paper (total in 1 paper)

Geometric quantization as zero mass limit in the problem of the particle on the sphere with the magnetic monopole in the center

A. Yu. Alekseev, D. V. Gluschenkov
Full-text PDF (266 kB) Citations (1)
Abstract: It is shown that the quantum-mechanical problem of the point particle on the sphere with the magnetic monopole in the center in the zero mass limit is equivalent to the quantum theory with geometrical action defined by means of Kirillov–Kostant 2-form for the case of $SU(2)$ group.
English version:
Journal of Mathematical Sciences, 1994, Volume 68, Issue 2, Pages 165–168
DOI: https://doi.org/10.1007/BF01249326
Bibliographic databases:
Document Type: Article
UDC: 539.12
Language: Russian
Citation: A. Yu. Alekseev, D. V. Gluschenkov, “Geometric quantization as zero mass limit in the problem of the particle on the sphere with the magnetic monopole in the center”, Questions of quantum field theory and statistical physics. Part 9, Zap. Nauchn. Sem. LOMI, 180, "Nauka", Leningrad. Otdel., Leningrad, 1990, 3–8; J. Math. Sci., 68:2 (1994), 165–168
Citation in format AMSBIB
\Bibitem{AleGlu90}
\by A.~Yu.~Alekseev, D.~V.~Gluschenkov
\paper Geometric quantization as zero mass limit in the problem of
the particle on the sphere with the magnetic monopole in the center
\inbook Questions of quantum field theory and statistical physics. Part~9
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 180
\pages 3--8
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4705}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1067330}
\zmath{https://zbmath.org/?q=an:0792.58018|0712.58028}
\transl
\jour J. Math. Sci.
\yr 1994
\vol 68
\issue 2
\pages 165--168
\crossref{https://doi.org/10.1007/BF01249326}
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  • https://www.mathnet.ru/eng/znsl/v180/p3
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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