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Keywords:

  • Rashba coupling;
  • Darwin term;
  • Zeeman term;
  • Tan–Inkson potential;
  • two-dimensional quantum ring;
  • Lorentz symmetry violation;
  • biconfluent Heun function

The arising of a Rashba-like coupling, a Zeeman-like term and a Darwin-like term induced by Lorentz symmetry breaking effects in the non-relativistic quantum dynamics of a spin-1/2 neutral particle interacting with external fields is studied. Moreover, the influence of a Rashba-like coupling induced by a Lorentz symmetry violation background on the Tan–Inkson potential [W.-C. Tan and J. C. Inkson, Semicond. Sci. Technol. 11, 1635 (1996)] is discussed.