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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 3, Pages 437–450
DOI: https://doi.org/10.4213/tmf9451 (Mi tmf9451) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic solution of a multichannel scattering problem with a nonadiabatic coupling

S. L. Yakovleva, E. A. Yarevskya, N. O. Elanderb, A. K. Belyaevc

a St. Petersburg State University, St. Petersburg, Russia
b Stockholm University, Stockholm, Sweden
c Herzen State Pedagogical University of Russia, St. Petersburg,Russia
Full-text PDF (436 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9451
Abstract: We consider a multichannel scattering problem in an adiabatic representation. We assume that the nonadiabatic coupling matrix has a nontrivial value at large internuclear separations, and we construct asymptotic solutions at large internuclear distances. We show that these solutions up to the first order of the perturbation theory are identical to the asymptotic solutions of the reprojection approach, which was previously proposed as a means for solving the electron translation problem in the context of the Born–Oppenheimer method.
Keywords: multichannel scattering, asymptotic solution of a scattering problem, adiabatic approximation.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-00492_а
16-03-00149
Carl Trygger Foundation
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).
Received: 24.08.2017
Revised: 09.11.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 3, Pages 874–885
DOI: https://doi.org/10.1134/S0040577918060065
Bibliographic databases:
Document Type: Article
PACS: 03.65.-w, 03.65.Nk, 34.50.-s
MSC: 81U10 81U99
Language: Russian
Citation: S. L. Yakovlev, E. A. Yarevsky, N. O. Elander, A. K. Belyaev, “Asymptotic solution of a multichannel scattering problem with a nonadiabatic coupling”, TMF, 195:3 (2018), 437–450; Theoret. and Math. Phys., 195:3 (2018), 874–885
Citation in format AMSBIB
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\pages 437--450
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Linking options:
  • https://www.mathnet.ru/eng/tmf9451
  • https://doi.org/10.4213/tmf9451
  • https://www.mathnet.ru/eng/tmf/v195/i3/p437
    • This publication is cited in the following 2 articles:
    1. Patrik Hedvall, Johan Hörnquist, Sergey L. Yakovlev, Nils O. Elander, Åsa Larson, “Treatment of asymptotic non-adiabatic couplings with higher order reprojection method in the diabatic representation”, The Journal of Chemical Physics, 161:5 (2024)  crossref
    2. S. L. Yakovlev, “Asymptotic solution of a Coulomb multichannel scattering problem with a nonadiabatic channel coupling”, Theoret. and Math. Phys., 203:2 (2020), 664–672  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :113
    References:72
    First page:18
     
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