Quasi-exact Solvability of Dirac Equations
Abstract
Description
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.
10 pages, no figures. Based on talks presented at the 11th International Conference on Symmetry Methods in Physics (Jun 21-24, 2004, Prague) and at the XXIII International Conference on Differential Geometric Methods in Theoretical Physics (Aug 20-26, 2005, Nankai, Tianjin, China). New references added
10 pages, no figures. Based on talks presented at the 11th International Conference on Symmetry Methods in Physics (Jun 21-24, 2004, Prague) and at the XXIII International Conference on Differential Geometric Methods in Theoretical Physics (Aug 20-26, 2005, Nankai, Tianjin, China). New references added