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