Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields
Chun-Ming Chiang, Choon-Lin Ho
Abstract
The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra sl(2) which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly solvable differential equation possesses a hidden osp(2,2) superalgebra.
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