This article is cited in 3 papers

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

K. S. Aramyan

Artsakh State University

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.

Keywords: singular oscillator, magnetic field, integrable model.

Received: 17.05.2007

DOI: 10.4213/tmf6234

 English version: Theoretical and Mathematical Physics, 2008, 156:1, 1075–1080

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