Geodesic
Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 5-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study properties of nonlinear supersymmetry algebras realized in the one-dimensional quantum mechanics of matrix systems. Supercharges of these algebras are differential operators of a finite order in derivatives. In special cases, there exist independent supercharges realizing an (extended) supersymmetry of the same super-Hamiltonian. The extended supersymmetry generates hidden symmetries of the super-Hamiltonian. Such symmetries have been found in models with $(2{\times}2)$-matrix potentials.
Keywords: matrix Hamiltonian, extended supersymmetry algebra, hidden symmetry. 
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A. A. Andrianov; A. V. Sokolov. Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 5-26. http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a0/

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