TY - JOUR

T1 - Scattering problem and resonances for three-body Coulomb quantum systems: parallel calculations

AU - Yarevsky, E.

PY - 2015

Y1 - 2015

N2 - An approach to the solution of scattering and resonance problems based on splitting the potential into a finite range part and a long range tail part is proposed. The explicit solution to the Schrödinger equation for the long range tail Hamiltonian is used as an incoming wave. This reformulation of the scattering problem makes it suitable for treatment by the exterior complex scaling. The same technique is used to determine resonances of the system. Calculations are performed with the finite element method which allows efficient parallel computations. The approach is illustrated with calculations of the electron resonant scattering on the hydrogen and the helium ion.

AB - An approach to the solution of scattering and resonance problems based on splitting the potential into a finite range part and a long range tail part is proposed. The explicit solution to the Schrödinger equation for the long range tail Hamiltonian is used as an incoming wave. This reformulation of the scattering problem makes it suitable for treatment by the exterior complex scaling. The same technique is used to determine resonances of the system. Calculations are performed with the finite element method which allows efficient parallel computations. The approach is illustrated with calculations of the electron resonant scattering on the hydrogen and the helium ion.

UR - https://www.epj-conferences.org/articles/epjconf/abs/2016/03/epjconf_mmcp2016_02046/epjconf_mmcp2016_02046.html

M3 - Conference article

VL - 108

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2100-014X

M1 - 02046

T2 - International Conference on Mathematical Modeling and Computational Physiscs (MMCP-2015)

Y2 - 12 July 2015 through 16 July 2015

ER -