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

M. Boiti; F. Pempinelli; A. K. Pogrebkov; B. Prinari

doi:10.1007/s11232-005-0139-1

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

M. Boiti
, F. Pempinelli
, A. K. Pogrebkov
, B. Prinari

Mathematics

University of Salento
Steklov Mathematical Institute of RAS

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	1100-1116
Number of pages	17
Journal	Theoretical and Mathematical Physics (Russian Federation)
Volume	144
Issue number	2
DOIs	https://doi.org/10.1007/s11232-005-0139-1
State	Published - Aug 2005

Keywords

Inverse scattering transform
Kadomtsev-Petviashvili equation
Resolvent approach

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10.1007/s11232-005-0139-1

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title = "Spectral theory of the nonstationary schrodinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential",

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.",

keywords = "Inverse scattering transform, Kadomtsev-Petviashvili equation, Resolvent approach",

author = "M. Boiti and F. Pempinelli and Pogrebkov, \{A. K.\} and B. Prinari",

year = "2005",

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T1 - Spectral theory of the nonstationary schrodinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential

AU - Boiti, M.

AU - Pempinelli, F.

AU - Pogrebkov, A. K.

AU - Prinari, B.

PY - 2005/8

Y1 - 2005/8

N2 - 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.

AB - 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.

KW - Inverse scattering transform

KW - Kadomtsev-Petviashvili equation

KW - Resolvent approach

UR - https://www.scopus.com/pages/publications/23944499651

U2 - 10.1007/s11232-005-0139-1

DO - 10.1007/s11232-005-0139-1

M3 - Article

AN - SCOPUS:23944499651

SN - 0040-5779

VL - 144

SP - 1100

EP - 1116

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

IS - 2

ER -

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

Abstract

Keywords

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