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arXiv · hep-th/0312130

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

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.

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Choon-Lin Ho, Pinaki Roy. 2003-12-12. Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators. https://doi.org/10.1016/j.aop.2004.01.007

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