Bohlin transformation for a two-dimensional singular oscillator in a constant magnetic field

  • K. S. Aramyan
Article

DOI: 10.3103/S1068337209010010

Cite this article as:
Aramyan, K.S. J. Contemp. Phys. (2009) 44: 1. doi:10.3103/S1068337209010010
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Abstract

Bohlin transformation for a circular singular oscillator in a constant magnetic field is considered. It is shown that this transformation leads to a two-dimensional Kepler problem with an additional centrifugal potential from the constant magnetic field whose strength decreases inversely proportional to the distance from the center of attraction of the system. The energy spectrum of the considered system is obtained.

Key words

two-dimensional oscillator Bohlin transformation magnetic field 

PACS numbers

05.45.Xt 

Copyright information

© Allerton Press, Inc. 2009

Authors and Affiliations

  • K. S. Aramyan
    • 1
  1. 1.Artsakh State UniversityStepanakertNagorno-Karabagh Republic

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