Quasi-exact solvability of the Pauli equation

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Published 8 April 2003 • Published under licence by IOP Publishing Ltd
, , Citation Choon-Lin Ho and Pinaki Roy 2003 J. Phys. A: Math. Gen. 36 4617 DOI 10.1088/0305-4470/36/16/311

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Author affiliations

1 Department of Physics, Tamkang University, Tamsui 25137, Taiwan

2 Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta 700035, India

Dates

  1. Received 19 September 2002
  2. Published

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Abstract

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.

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