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Geometric quantization of the Kepler problem with a magnetic charge

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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

Abstract

The geometric quantization scheme is applied to the compact Kaehler orbit manifolds of a one-parameter family of deformations of the Kepler problem. Thus we obtain the quantization of the magnetic charge and energy spectrum of the corresponding quantum problem. Anew regularization of the standard Kepler problem is presented.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Sofia, Bd. A. Ivanov 5, 1126, Sofia, Bulgaria

    Vassil V. Tsanov

  2. Central Laboratory of Biophysics, Bulgarian Academy of Sciences, B1. 21, 1113, Sofia, Bulgaria

    Ivailo M. Mladenov

Authors
  1. Vassil V. Tsanov
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  2. Ivailo M. Mladenov
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Tsanov, V.V., Mladenov, I.M. (1988). Geometric quantization of the Kepler problem with a magnetic charge. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012288

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  • DOI: https://doi.org/10.1007/BFb0012288

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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