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Supersymmetric Construction of Three-Dimensional Isospectral Systems

Supersymmetric Construction of Three-Dimensional Isospectral Systems

Three-dimensional isospectral systems are constructed using the framework of supersymmetric quantum mechanics. In the case that a supercharge of first-order in the momentum is used, it is proved that the constructed systems reduce to a trivial generalization of one-dimensional systems. In the case that a second-order supercharge is used, nontrivial …