FEM Solver Coulomb Two Center Problem
A.I. Muratova1,
A.A. Gusev2,
O. Chuluunbaatar2,
S.I. Vinitsky2,
V. L. Derbov3,
L. L. Hai4
1Tver State University, Tver, Russia; 2Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia; 3Saratov State University, Saratov, Russia; 4Ho Chi Minh city University of Education, Ho Chi Minh City, 72711, Viet Nam
Abstract
The finite element method (FEM) solver for the two-center Coulomb problem with
discrete and continuous spectrum in prolate spheroidal coordinates under separation
independent variables is presented.
The eigenvalues of energy and separation constant of discrete spectrum and the
eigenfunctions or separation constant and phase shift of continues spectrum of energy
and the eigenfunctions of the boundary problems for the quasiradial and
quasiangular equations are calculated by the finite element method KANTBP 5M
program implemented in Maple on a grid of the parameter, the distance between the
Coulomb centers.
The required difference of pair of eigenvalues of energy of discrete spectrum of
quasiradial and quasiangular equations are calculated with a given accuracy by the
iteration second method with respect to the required separation constant.
Benchmark calculations agree with etalon calculations by programs that implement
alternative methods in FORTRAN within a required accuracy.
Speaker
DERBOV VLADIMIR
Saratov State Unoversity
Russia
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