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Integrable model of a two-dimensional singular spherical oscillator in a constant magnetic field

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Abstract

We propose an analogue of a two-dimensional singular oscillator (Smorodinsky-Winternitz oscillator) on a sphere, which is exactly solvable in the classical sense both without and with a constant magnetic field. We find the explicit classical solutions.

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Authors and Affiliations

  1. Artsakh State University, Stepanakert, Russia

    K. S. Aramyan

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  1. K. S. Aramyan
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Correspondence to K. S. Aramyan.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 1, pp. 131–137, July, 2008.

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Aramyan, K.S. Integrable model of a two-dimensional singular spherical oscillator in a constant magnetic field. Theor Math Phys 156, 1075–1080 (2008). https://doi.org/10.1007/s11232-008-0099-3

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  • DOI: https://doi.org/10.1007/s11232-008-0099-3

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