Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators

Choon-Lin Ho; Pinaki Roy

doi:10.1016/j.aop.2004.01.007

Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators

High Energy Physics - Theory 2015-06-26 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems Quantum Physics

Authors: Choon-Lin Ho , Pinaki Roy

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Abstract

We demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasi-exactly solvable systems. Electric field configurations permitting quasi-exact solvability of the system based on the $sl(2)$ symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited.

Keywords

quasi-exact solvability Dirac-Pauli equation Dirac oscillators sl(2) symmetry electric fields

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@article{arxiv.hep-th/0312130,
  title  = {Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators},
  author = {Choon-Lin Ho and Pinaki Roy},
  journal= {arXiv preprint arXiv:hep-th/0312130},
  year   = {2015}
}

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Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators

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