Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning
Year: 2021
Author: Vitaly A. Gradusov, Vladimir A. Roudnev, Evgeny A. Yarevsky, Sergey L. Yakovlev
Communications in Computational Physics, Vol. 30 (2021), Iss. 1 : pp. 255–287
Abstract
The computational approach for solving the Faddeev-Merkuriev equations in total orbital momentum representation is presented. These equations describe a system of three quantum charged particles and are widely used in bound state and scattering calculations. The approach is based on the spline collocation method and exploits intensively the tensor product form of discretized operators and preconditioner, which leads to a drastic economy in both computer resources and time.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2020-0097
Communications in Computational Physics, Vol. 30 (2021), Iss. 1 : pp. 255–287
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Faddeev-Merkuriev equations total orbital momentum representation spline collocation tensor product preconditioner.