We consider the nonstationary Schrodinger equation with the potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function in the framework of the extended resolvent approach. We give the corresponding modification of the Jost and advanced/retarded solutions and spectral data and present relations between them.

Spectral theory of the nonstationary Schrodinger equation with a two-dimensionally perturbed one-dimensional potential

BOITI, Marco;PEMPINELLI, Flora;PRINARI, Barbara
2005-01-01

Abstract

We consider the nonstationary Schrodinger equation with the potential being a perturbation of a generic one-dimensional potential by means of a decaying two-dimensional function in the framework of the extended resolvent approach. We give the corresponding modification of the Jost and advanced/retarded solutions and spectral data and present relations between them.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/300785
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