Three-dimensional Matrix Superpotentials

Details Three-dimensional Matrix Superpotentials Three-dimensional Matrix Superpotentials

2011-09-02

arxiv.org/abs/1109.0509v2

Physics

Mathematical Physics

13 pages, grammar corrections were added

Scientific paper

This article considers the classification of matrix superpotentials that corresponds to exactly solvable systems of Schrodinger equations. Superpotentials of the following form are considered: $W_k = kQ + P + \frac1kR$, where $k$ --- parameter, $P, Q$ and $R$ --- hermitian matrices, that depend on a variable $x$. The list of three-dimensional matrix superpotentials is presented explicitly.

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