Standard

ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING. / Яковлев, Сергей Леонидович; Яревский, Евгений Александрович.

в: Theoretical and Mathematical Physics, Том 195, № 3, 01.06.2018, стр. 874-885.

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

Harvard

Яковлев, СЛ & Яревский, ЕА 2018, 'ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING', Theoretical and Mathematical Physics, Том. 195, № 3, стр. 874-885. https://doi.org/DOI: 10.1134/S0040577918060065

APA

Яковлев, С. Л., & Яревский, Е. А. (2018). ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING. Theoretical and Mathematical Physics, 195(3), 874-885. https://doi.org/DOI: 10.1134/S0040577918060065

Vancouver

Яковлев СЛ, Яревский ЕА. ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING. Theoretical and Mathematical Physics. 2018 Июнь 1;195(3):874-885. https://doi.org/DOI: 10.1134/S0040577918060065

Author

Яковлев, Сергей Леонидович ; Яревский, Евгений Александрович. / ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING. в: Theoretical and Mathematical Physics. 2018 ; Том 195, № 3. стр. 874-885.

BibTeX

@article{200a73ed64aa4e298c9ad9dbc3433ba5,
title = "ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING",
abstract = "We consider a multichannel scattering problem in an adiabatic representation. We assume that thenonadiabatic coupling matrix has a nontrivial value at large internuclear separations, and we constructasymptotic solutions at large internuclear distances. We show that these solutions up to the first orderof the perturbation theory are identical to the asymptotic solutions of the reprojection approach, whichwas previously proposed as a means for solving the electron translation problem in the context of theBorn–Oppenheimer method.",
keywords = "adiabatic approximation, asymptotic solution of a scattering problem, multichannel scattering, ATOMIC-COLLISIONS, COULOMB INTERACTION, QUANTUM, SYSTEMS, 3-BODY PROBLEM, ADIABATIC REPRESENTATION",
author = "Яковлев, {Сергей Леонидович} and Яревский, {Евгений Александрович}",
note = "Funding Information: ∗St. Petersburg State University, St. Petersburg, Russia, e-mail: s.yakovlev@spbu.ru. †Stockholm University, Stockholm, Sweden. ‡Herzen State Pedagogical University of Russia, St. Petersburg, Russia. The research of S. L. Yakovlev and E. A. Yarevsky is supported by St. Petersburg State University (Project No. 11.38.241.2015). The research of N. O. Elander is supported by a grant from the Carl Trygger Foundation. The research of A. K. Belyaev is supported by the Russian Foundation for Basic Research (Grant No. 16-03-00149).",
year = "2018",
month = jun,
day = "1",
doi = "DOI: 10.1134/S0040577918060065",
language = "English",
volume = "195",
pages = "874--885",
journal = "Theoretical and Mathematical Physics",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING

AU - Яковлев, Сергей Леонидович

AU - Яревский, Евгений Александрович

N1 - Funding Information: ∗St. Petersburg State University, St. Petersburg, Russia, e-mail: s.yakovlev@spbu.ru. †Stockholm University, Stockholm, Sweden. ‡Herzen State Pedagogical University of Russia, St. Petersburg, Russia. The research of S. L. Yakovlev and E. A. Yarevsky is supported by St. Petersburg State University (Project No. 11.38.241.2015). The research of N. O. Elander is supported by a grant from the Carl Trygger Foundation. The research of A. K. Belyaev is supported by the Russian Foundation for Basic Research (Grant No. 16-03-00149).

PY - 2018/6/1

Y1 - 2018/6/1

N2 - We consider a multichannel scattering problem in an adiabatic representation. We assume that thenonadiabatic coupling matrix has a nontrivial value at large internuclear separations, and we constructasymptotic solutions at large internuclear distances. We show that these solutions up to the first orderof the perturbation theory are identical to the asymptotic solutions of the reprojection approach, whichwas previously proposed as a means for solving the electron translation problem in the context of theBorn–Oppenheimer method.

AB - We consider a multichannel scattering problem in an adiabatic representation. We assume that thenonadiabatic coupling matrix has a nontrivial value at large internuclear separations, and we constructasymptotic solutions at large internuclear distances. We show that these solutions up to the first orderof the perturbation theory are identical to the asymptotic solutions of the reprojection approach, whichwas previously proposed as a means for solving the electron translation problem in the context of theBorn–Oppenheimer method.

KW - adiabatic approximation

KW - asymptotic solution of a scattering problem

KW - multichannel scattering

KW - ATOMIC-COLLISIONS

KW - COULOMB INTERACTION

KW - QUANTUM

KW - SYSTEMS

KW - 3-BODY PROBLEM

KW - ADIABATIC REPRESENTATION

UR - http://www.scopus.com/inward/record.url?scp=85049567970&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/asymptotic-solution-multichannel-scattering-problem-nonadiabatic-coupling

U2 - DOI: 10.1134/S0040577918060065

DO - DOI: 10.1134/S0040577918060065

M3 - Article

VL - 195

SP - 874

EP - 885

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 3

ER -

ID: 34653929