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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1102-1106
Nombre de pages	5
journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Numéro de publication	12-13
Les DOIs	https://doi.org/10.1016/j.physleta.2012.02.025
état	Publié - 27 févr. 2012

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10.1016/j.physleta.2012.02.025

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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",

author = "Grinevich, \{P. G.\} and Novikov, \{R. G.\}",

year = "2012",

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T1 - Faddeev eigenfunctions for point potentials in two dimensions

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

EP - 1106

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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