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: Wk = kQ + P + 1kR, 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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