On Justification of the Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion

Standard

On Justification of the Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion. / Baibulov, I. V.; Budylin, A. M.; Levin, S. B.

в: Journal of Mathematical Sciences (United States), Том 238, № 5, 07.05.2019, стр. 566-590.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{301ea31e19094a0ebe26445ecbeeb7af,

title = "On Justification of the Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion",

abstract = "The present paper offers a new approach to the construction of the coordinate asymptotics of the kernel of the resolvent of the Schr{\"o}dinger operator in the scattering problem of three onedimensional quantum particles with short-range pair potentials. Within the framework of this approach, the asymptotics of eigenfunctions of the absolutely continuous spectrum of the Schr{\"o}dinger operator can be constructed. In the paper, the possibility of a generalization of the suggested approach to the case of the scattering problem of N particles with arbitrary masses is discussed.",

author = "Baibulov, {I. V.} and Budylin, {A. M.} and Levin, {S. B.}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2019",

month = may,

day = "7",

doi = "10.1007/s10958-019-04258-1",

language = "English",

volume = "238",

pages = "566--590",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - On Justification of the Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion

AU - Baibulov, I. V.

AU - Budylin, A. M.

AU - Levin, S. B.

PY - 2019/5/7

Y1 - 2019/5/7

N2 - The present paper offers a new approach to the construction of the coordinate asymptotics of the kernel of the resolvent of the Schrödinger operator in the scattering problem of three onedimensional quantum particles with short-range pair potentials. Within the framework of this approach, the asymptotics of eigenfunctions of the absolutely continuous spectrum of the Schrödinger operator can be constructed. In the paper, the possibility of a generalization of the suggested approach to the case of the scattering problem of N particles with arbitrary masses is discussed.

AB - The present paper offers a new approach to the construction of the coordinate asymptotics of the kernel of the resolvent of the Schrödinger operator in the scattering problem of three onedimensional quantum particles with short-range pair potentials. Within the framework of this approach, the asymptotics of eigenfunctions of the absolutely continuous spectrum of the Schrödinger operator can be constructed. In the paper, the possibility of a generalization of the suggested approach to the case of the scattering problem of N particles with arbitrary masses is discussed.

UR - http://www.scopus.com/inward/record.url?scp=85064899165&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04258-1

DO - 10.1007/s10958-019-04258-1

M3 - Article

AN - SCOPUS:85064899165

VL - 238

SP - 566

EP - 590

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 40058064