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Asymptotic behavior of eigenfunctions of the three-particle schrödinger operator. II. Charged one-dimensional particles. / Buslaev, V. S.; Levin, S. B.

In: St. Petersburg Mathematical Journal, Vol. 22, No. 3, 2011, p. 379-392.

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Buslaev, V. S. ; Levin, S. B. / Asymptotic behavior of eigenfunctions of the three-particle schrödinger operator. II. Charged one-dimensional particles. In: St. Petersburg Mathematical Journal. 2011 ; Vol. 22, No. 3. pp. 379-392.

BibTeX

@article{d307ed8143024388aa8b5a9ddd05130f,
title = "Asymptotic behavior of eigenfunctions of the three-particle schr{\"o}dinger operator. II. Charged one-dimensional particles",
abstract = "A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.",
keywords = "Coulomb interaction, Onedimensional particles, Quantum scattering, Three-particle scattering",
author = "Buslaev, {V. S.} and Levin, {S. B.}",
year = "2011",
doi = "10.1090/S1061-0022-2011-01147-1",
language = "English",
volume = "22",
pages = "379--392",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of eigenfunctions of the three-particle schrödinger operator. II. Charged one-dimensional particles

AU - Buslaev, V. S.

AU - Levin, S. B.

PY - 2011

Y1 - 2011

N2 - A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.

AB - A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.

KW - Coulomb interaction

KW - Onedimensional particles

KW - Quantum scattering

KW - Three-particle scattering

UR - http://www.scopus.com/inward/record.url?scp=84871361400&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-2011-01147-1

DO - 10.1090/S1061-0022-2011-01147-1

M3 - Article

VL - 22

SP - 379

EP - 392

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 5375235