New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance
New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance
Two new methods for the investigation of two-dimensional quantum systems, whose Hamiltonians are not amenable to separation of variables, are proposed. The first one—SUSY-separation of variables—is based on the intertwining relations of higher-order SUSY quantum mechanics (HSUSY QM) with supercharges allowing separation of variables. The second one is a generalization …