Research output: Contribution to journal › Article › peer-review
ASYMPTOTIC SOLUTION OF A MULTICHANNEL SCATTERING PROBLEM WITH A NONADIABATIC COUPLING. / Яковлев, Сергей Леонидович; Яревский, Евгений Александрович.
In: Theoretical and Mathematical Physics, Vol. 195, No. 3, 01.06.2018, p. 874-885.Research output: Contribution to journal › Article › peer-review
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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 (Russian Federation)
JF - Theoretical and Mathematical Physics (Russian Federation)
SN - 0040-5779
IS - 3
ER -
ID: 34653929