Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators |
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Authors: | Choon-Lin Ho Pinaki Roy |
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Institution: | a Department of Physics, Tamkang University, Tamsui 25137, Taiwan, ROC b Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta 700035, India |
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Abstract: | In this 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 the spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited. |
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Keywords: | 03 65 &minus w 03 65 Pm 02 30 Zz |
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