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