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arxiv: 0710.2197 · v2 · submitted 2007-10-11 · ✦ hep-th

Quasi-exact Solvability of Dirac Equations

classification ✦ hep-th
keywords procedurediracequationquasi-exactsolvabilitycloseconnectiondetermining
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We present a general procedure for determining quasi-exact solvability of the Dirac and the Pauli equation with an underlying $sl(2)$ symmetry. This procedure makes full use of the close connection between quasi-exactly solvable systems and supersymmetry. The Dirac-Pauli equation with spherical electric field is taken as an example to illustrate the procedure.

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