Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations

Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations

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...

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Main Author: Yarevsky E.
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/201610802046
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spelling doaj-f592fd2640e642f59d95195a788d22e32021-08-02T11:02:39ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011080204610.1051/epjconf/201610802046epjconf_mmcp2016_02046Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel CalculationsYarevsky E.0Department of Computational Physics, St Petersburg State UniversityAn 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.http://dx.doi.org/10.1051/epjconf/201610802046
collection DOAJ
language English
format Article
sources DOAJ
author Yarevsky E.
spellingShingle Yarevsky E.
Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations
EPJ Web of Conferences
author_facet Yarevsky E.
author_sort Yarevsky E.
title Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations
title_short Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations
title_full Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations
title_fullStr Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations
title_full_unstemmed Scattering Problem and Resonances for Three-Body Coulomb Quantum Systems: Parallel Calculations
title_sort scattering problem and resonances for three-body coulomb quantum systems: parallel calculations
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1051/epjconf/201610802046
work_keys_str_mv AT yarevskye scatteringproblemandresonancesforthreebodycoulombquantumsystemsparallelcalculations
_version_ 1721233630748999680

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