Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields
نویسنده
چکیده
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. PACS: 03.65.Pm, 31.30.Jv, 03.65.Fd
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