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Towards spectral theory of the Nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential

M. Boiti·F. Pempinelli·A. K. Pogrebkov·B. Prinari
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Abstract

The Nonstationary Schrödinger 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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M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari. 2004-11-13. Towards spectral theory of the Nonstationary Schrödinger equation with a two-dimensionally perturbed one-dimensional potential. https://arxiv.org/abs/nlin/0411036

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