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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 180, Pages 3–8
(Mi znsl4705)
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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
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.
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
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https://www.mathnet.ru/eng/znsl4705 https://www.mathnet.ru/eng/znsl/v180/p3
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Abstract page: | 116 | Full-text PDF : | 60 |
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