Faddeev eigenfunctions for multipoint potentials

P. G. Grinevich; R. G. Novikov

doi:10.32523/2306-3172-2013-1-2-76-91

Faddeev eigenfunctions for multipoint potentials

P. G. Grinevich
, R. G. Novikov

Landau Institute for Theoretical Physics, Russian Academy of Sciences
IEPT RAS
Moscow Institute of Physics and Technology

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

9 Citations (Scopus)

Abstract

We present explicit formulae for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulae were obtained in an old unpublished work of L.D. Faddeev. For single point potentials in 2D such formulae were given recently in [11].

Original language	English
Pages (from-to)	76-91
Number of pages	16
Journal	Eurasian Journal of Mathematical and Computer Applications
Volume	1
Issue number	2
DOIs	https://doi.org/10.32523/2306-3172-2013-1-2-76-91
Publication status	Published - 1 Jan 2013

Keywords

Exact solutions
Faddeev eigenfunctions
Point scatterers
Schrödinger operator

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10.32523/2306-3172-2013-1-2-76-91

Cite this

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title = "Faddeev eigenfunctions for multipoint potentials",

abstract = "We present explicit formulae for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulae were obtained in an old unpublished work of L.D. Faddeev. For single point potentials in 2D such formulae were given recently in [11].",

keywords = "Exact solutions, Faddeev eigenfunctions, Point scatterers, Schr{\"o}dinger operator",

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T1 - Faddeev eigenfunctions for multipoint potentials

AU - Grinevich, P. G.

AU - Novikov, R. G.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - We present explicit formulae for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulae were obtained in an old unpublished work of L.D. Faddeev. For single point potentials in 2D such formulae were given recently in [11].

AB - We present explicit formulae for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulae were obtained in an old unpublished work of L.D. Faddeev. For single point potentials in 2D such formulae were given recently in [11].

KW - Exact solutions

KW - Faddeev eigenfunctions

KW - Point scatterers

KW - Schrödinger operator

U2 - 10.32523/2306-3172-2013-1-2-76-91

DO - 10.32523/2306-3172-2013-1-2-76-91

M3 - Article

AN - SCOPUS:84978312533

SN - 2306-6172

VL - 1

SP - 76

EP - 91

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

IS - 2

ER -

Faddeev eigenfunctions for multipoint potentials

Abstract

Keywords

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