Asymptotic Solution of A Multichannel Scattering Problem with A Nonadiabatic Coupling

2018 ◽  
Vol 195 (3) ◽  
pp. 874-885
Author(s):  
S. L. Yakovlev ◽  
E. A. Yarevsky ◽  
N. O. Elander ◽  
A. K. Belyaev
Keyword(s):  
Asymptotic Solution ◽  
Scattering Problem ◽  
Multichannel Scattering ◽  
Nonadiabatic Coupling

Immersing method for the multichannel scattering problem

2009 ◽  
Vol 44 (6) ◽  
pp. 257-263 ◽  
Author(s):  
D. M. Sedrakian ◽  
E. M. Kazaryan ◽  
L. R. Sedrakian
Keyword(s):  
Scattering Problem ◽  
Multichannel Scattering ◽  
Immersing Method

scholarly journals KANTBP 4M Program for Solving the Scattering Problem for a System of Ordinary Second-Order Differential Equations

2020 ◽  
Vol 226 ◽  
pp. 02008
Author(s):  
Galmandakh Chuluunbaatar ◽  
Alexander A. Gusev ◽  
Ochbadrakh Chuluunbaatar ◽  
Sergue I. Vinitsky ◽  
Luong Le Hai
Keyword(s):  
Differential Equations ◽  
Hermite Interpolation ◽  
Scattering Problem ◽  
Second Order ◽  
The Finite Element Method ◽  
Multichannel Scattering ◽  
Reaction Region ◽  
Interpolation Polynomials ◽  
Complex Valued ◽  
Hermite Interpolation Polynomials

We report an upgrade of the program KANTBP 4M implemented in the computer algebra system MAPLE for solving, with a given accuracy, the multichannel scattering problem, which is reduced to a boundary-value problem for a system of ordinary differential equations of the second order with continuous or piecewise continuous real or complex-valued coeffcients. The solution over a finite interval is subject to mixed homogeneous boundary conditions: Dirichlet and/or Neumann, and/or of the third kind. The discretization of the boundary problem is implemented by means of the finite element method with the Lagrange or Hermite interpolation polynomials. The effciency of the proposed algorithm is demonstrated by solving a multichannel scattering problem with coupling of channels in both the reaction region and the asymptotic one.

Solution to the multichannel scattering problem via the discrete spectral shift formalism

2014 ◽  
Vol 77 (4) ◽  
pp. 486-495 ◽  
Author(s):  
O. A. Rubtsova ◽  
V. I. Kukulin ◽  
V. N. Pomerantsev
Keyword(s):  
Scattering Problem ◽  
Spectral Shift ◽  
Multichannel Scattering
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