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Article overview
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Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields | | Chun-Ming Chiang
; Choon-Lin Ho
; | | Date: |
9 Dec 2004 | | Journal: | Mod. Phys. Lett. A 20 (2005) 673-679. | | Subject: | Quantum Physics; Mathematical Physics; Exactly Solvable and Integrable Systems | quant-ph math-ph math.MP nlin.SI | | 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. | | Source: | arXiv, quant-ph/0501035 | | Services: | Forum | Review | PDF | Favorites | |
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