Quasi-exact Solvability of Dirac Equations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, no figures. Based on talks presented at the 11th International Conference on Symmetry Methods in Physics (Jun 21-24,

Scientific paper

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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