Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
arXiv:hep-th/0312130 · doi:10.1016/j.aop.2004.01.007
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 symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited.
LaTex, 21 pages, no figures
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