This article is cited in 2 papers

Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics

A. A. Andrianov, A. V. Sokolov

Saint Petersburg State University, Saint Petersburg, Russia

Abstract: 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.

DOI: 10.4213/tmf8977

 English version: Theoretical and Mathematical Physics, 2016, 186:1, 2–20

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