Two-dimensional spherical oscillator in a constant magnetic field

@article{Alexanyan2007TwodimensionalSO,
  title={Two-dimensional spherical oscillator in a constant magnetic field},
  author={M. A. Alexanyan and K. S. Aramyan},
  journal={Journal of Contemporary Physics (Armenian Academy of Sciences)},
  year={2007},
  volume={42},
  pages={49-54}
}
We study the equations of motion of a spherical oscillator model suggested by Bellucci and Nersessian, in the presence of a constant magnetic field. This model is shown to be exactly solvable classically in contrast to the Higgs oscillator which is not exactly solvable in magnetic fields.