Towards spectral theory of the Nonstationary Schr\"odinger equation with a two-dimensionally perturbed one-dimensional potential
Abstract
The Nonstationary Schr\"odinger equation with potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function is considered here in the framework of the extended resolvent approach. The properties of the Jost solutions and spectral data are investigated.
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