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

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

2003-12-12

arxiv.org/abs/hep-th/0312130v1

Annals Phys. 312 (2004) 161-176

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 21 pages, no figures

Scientific paper

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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