New exactly solvable systems with Fock symmetry

@article{Nikitin2012NewES,
  title={New exactly solvable systems with Fock symmetry},
  author={A. G. Nikitin},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2012},
  volume={45}
}
  • A. Nikitin
  • Published 14 May 2012
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
New superintegrable systems are presented which, like the hydrogen atom, possess a dynamical symmetry w.r.t. algebra o(4). One system simulates a neutral fermion with non-trivial dipole moment, interacting with the external e.m. field. This system is presented in both non-relativistic and relativistic formulations. Another recently discovered system (see Désilets et al 2012 arXiv:1208.2886v1) is non-relativistic and includes minimal and spin–orbit interaction with the external electric field… 

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