Three-dimensional Matrix Superpotentials

Abstract

This article considers the classification of matrix superpotentials that corresponds to exactly solvable systems of Schrodinger equations. Superpotentials of the following form are considered: $W_k=kQ+P+\frac{1}{k}R$, 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.

13 pages, grammar corrections were added

References in corpus (1)

• Matrix Superpotential Linear in Variable Parameter