Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-09-25
J.Phys.A36:4617-4628,2003
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 20 pages, no figures
Scientific paper
10.1088/0305-4470/36/16/311
We present a general procedure for determining possible (nonuniform) magnetic fields such that the Pauli equation becomes quasi-exactly solvable (QES) with an underlying $sl(2)$ symmetry. This procedure makes full use of the close connection between QES systems and supersymmetry. Of the ten classes of $sl(2)$-based one-dimensional QES systems, we have found that nine classes allow such construction.
Ho Choon-Lin
Roy Pinaki
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