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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1990 Volume 180, Pages 3–8 (Mi znsl4705)

This article is cited 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.

UDC: 539.12


 English version:
Journal of Mathematical Sciences, 1994, 68:2, 165–168

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