Faddeev eigenfunctions for point potentials in two dimensions

P. G. Grinevich; R. G. Novikov

doi:10.1016/j.physleta.2012.02.025

Faddeev eigenfunctions for point potentials in two dimensions

P. G. Grinevich
, R. G. Novikov

Landau Institute for Theoretical Physics, Russian Academy of Sciences

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

Abstract

We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for point (delta-type) potentials in two dimensions. In particular, we obtain the first explicit examples of such eigenfunctions with contour singularity in spectral parameter at a fixed real energy.

Original language	English
Pages (from-to)	1102-1106
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	12-13
DOIs	https://doi.org/10.1016/j.physleta.2012.02.025
Publication status	Published - 27 Feb 2012

Keywords

Explicitly solvable models
Faddeev eigenfunctions
Monochromatic inverse scattering
Spectral singularities
Two-dimensional Schrödinger equation

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10.1016/j.physleta.2012.02.025

Cite this

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title = "Faddeev eigenfunctions for point potentials in two dimensions",

abstract = "We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for point (delta-type) potentials in two dimensions. In particular, we obtain the first explicit examples of such eigenfunctions with contour singularity in spectral parameter at a fixed real energy.",

keywords = "Explicitly solvable models, Faddeev eigenfunctions, Monochromatic inverse scattering, Spectral singularities, Two-dimensional Schr{\"o}dinger equation",

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AU - Grinevich, P. G.

AU - Novikov, R. G.

PY - 2012/2/27

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N2 - We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for point (delta-type) potentials in two dimensions. In particular, we obtain the first explicit examples of such eigenfunctions with contour singularity in spectral parameter at a fixed real energy.

AB - We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for point (delta-type) potentials in two dimensions. In particular, we obtain the first explicit examples of such eigenfunctions with contour singularity in spectral parameter at a fixed real energy.

KW - Explicitly solvable models

KW - Faddeev eigenfunctions

KW - Monochromatic inverse scattering

KW - Spectral singularities

KW - Two-dimensional Schrödinger equation

UR - https://www.scopus.com/pages/publications/84857795003

U2 - 10.1016/j.physleta.2012.02.025

DO - 10.1016/j.physleta.2012.02.025

M3 - Article

AN - SCOPUS:84857795003

SN - 0375-9601

VL - 376

SP - 1102

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 12-13

ER -

Faddeev eigenfunctions for point potentials in two dimensions

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Keywords

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