Quasi-exact Solvability of the Pauli Equation
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Quantum Physics
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 symmetry. This procedure makes full use of the close connection between QES systems and supersymmetry. Of the ten classes of -based one-dimensional QES systems, we have found that nine classes allow such construction.
Cite
@article{arxiv.hep-th/0209213,
title = {Quasi-exact Solvability of the Pauli Equation},
author = {Choon-Lin Ho and Pinaki Roy},
journal= {arXiv preprint arXiv:hep-th/0209213},
year = {2008}
}
Comments
LaTex, 20 pages, no figures