# 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} }

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…

## 21 Citations

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First order integrals of motion for Schrodinger equations with position dependent masses are classified. Eighteen classes of such equations with non-equivalent symmetries are specified. They include…

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