Three-dimensional shape invariant non-separable model with equidistant spectrum
Three-dimensional shape invariant non-separable model with equidistant spectrum
A class of three-dimensional models, which satisfy supersymmetric intertwining relations with the simplest—oscillator-like—variant of shape invariance, is constructed. It is proved that the models are not amenable to the conventional separation of variables for the complex potentials, but their spectra are real and equidistant (such as, for isotropic harmonic oscillator). …