We present a classification of matrix superpotentials that correspond to exactly solvable systems of Schrödinger equations. Superpotentials of the form \( {W_k}=kQ+P+\frac{1}{k}R \) are considered, where k is a parameter and P, Q, and R are Hermitian matrices that depend on a variable x. The list of three-dimensional matrix superpotentials is presented in explicit form.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 12, pp. 1641–1653, December, 2012.
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Karadzhov, Y.A. Three-Dimensional Matrix Superpotentials. Ukr Math J 64, 1851–1864 (2013). https://doi.org/10.1007/s11253-013-0756-z
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DOI: https://doi.org/10.1007/s11253-013-0756-z