This article is cited in 3 papers

Asymptotic solution of a multichannel scattering problem with a nonadiabatic coupling

S. L. Yakovlev^a, E. A. Yarevsky^a, N. O. Elander^b, A. K. Belyaev<sup>c

a</sup> St. Petersburg State University, St. Petersburg, Russia
^b Stockholm University, Stockholm, Sweden
^c Herzen State Pedagogical University of Russia, St. Petersburg,Russia

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.

PACS: 03.65.-w, 03.65.Nk, 34.50.-s

MSC: 81U10 81U99

Received: 24.08.2017
Revised: 09.11.2017

DOI: 10.4213/tmf9451

 English version: Theoretical and Mathematical Physics, 2018, 195:3, 874–885

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