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

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

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.

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Authors and Affiliations

  1. Artsakh State University, Stepanakert, Nagorno-Karabagh Republic

    K. S. Aramyan

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  1. K. S. Aramyan
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Original Russian Text © K.S. Aramyan, 2009, published in Izvestiya NAN Armenii, Fizika, 2009, Vol. 44, No. 1, pp. 3–9.

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Aramyan, K.S. Bohlin transformation for a two-dimensional singular oscillator in a constant magnetic field. J. Contemp. Phys. 44, 1–5 (2009). https://doi.org/10.3103/S1068337209010010

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  • DOI: https://doi.org/10.3103/S1068337209010010

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