The Scattering Problem of Three One-Dimensional Short-Range Quantum Particles Involving Bound States in Pair Subsystems. The Coordinate Asymptotics of the Resolvent Kernel and of the Eigenfunctions of the Absolutely Continuous Spectrum

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The Scattering Problem of Three One-Dimensional Short-Range Quantum Particles Involving Bound States in Pair Subsystems. The Coordinate Asymptotics of the Resolvent Kernel and of the Eigenfunctions of the Absolutely Continuous Spectrum. / Baibulov, I. V.; Budylin, A. M.; Levin, S. B.

In: Journal of Mathematical Sciences (United States), Vol. 252, No. 5, 02.2021, p. 567-575.

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

BibTeX

@article{1e3a1c920b774d0f986e2143b0d7ce48,

title = "The Scattering Problem of Three One-Dimensional Short-Range Quantum Particles Involving Bound States in Pair Subsystems. The Coordinate Asymptotics of the Resolvent Kernel and of the Eigenfunctions of the Absolutely Continuous Spectrum",

abstract = "In the present work, we consider the scattering problem of three one-dimensional quantum particles of equal mass interacting by pair finite potentials such that each pair subsystem permits a bound state. We study the limit values of the Schr{\"o}dinger operator resolvent integral kernel as the spectral parameter approaches the positive semiaxis, which allows us to construct the asymptotics of eigenfunctions of the absolutely continuous spectrum.",

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

year = "2021",

month = feb,

doi = "10.1007/s10958-021-05181-0",

language = "English",

volume = "252",

pages = "567--575",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - The Scattering Problem of Three One-Dimensional Short-Range Quantum Particles Involving Bound States in Pair Subsystems. The Coordinate Asymptotics of the Resolvent Kernel and of the Eigenfunctions of the Absolutely Continuous Spectrum

AU - Baibulov, I. V.

AU - Budylin, A. M.

AU - Levin, S. B.

PY - 2021/2

Y1 - 2021/2

N2 - In the present work, we consider the scattering problem of three one-dimensional quantum particles of equal mass interacting by pair finite potentials such that each pair subsystem permits a bound state. We study the limit values of the Schrödinger operator resolvent integral kernel as the spectral parameter approaches the positive semiaxis, which allows us to construct the asymptotics of eigenfunctions of the absolutely continuous spectrum.

AB - In the present work, we consider the scattering problem of three one-dimensional quantum particles of equal mass interacting by pair finite potentials such that each pair subsystem permits a bound state. We study the limit values of the Schrödinger operator resolvent integral kernel as the spectral parameter approaches the positive semiaxis, which allows us to construct the asymptotics of eigenfunctions of the absolutely continuous spectrum.

UR - http://www.scopus.com/inward/record.url?scp=85098797810&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/cfd23c3e-4d97-3506-b375-8143f34c3f8c/

U2 - 10.1007/s10958-021-05181-0

DO - 10.1007/s10958-021-05181-0

M3 - Article

AN - SCOPUS:85098797810

VL - 252

SP - 567

EP - 575

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 76462674