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Volume 30, Issue 1
Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning

Vitaly A. Gradusov, Vladimir A. Roudnev, Evgeny A. Yarevsky & Sergey L. Yakovlev

DOI: 10.4208/cicp.OA-2020-0097

Commun. Comput. Phys., 30 (2021), pp. 255-287.

Published online: 2021-04

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  • 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.

  • Keywords

Faddeev-Merkuriev equations, total orbital momentum representation, spline collocation, tensor product preconditioner.

  • AMS Subject Headings

65F08, 65N35, 81Q05, 81U35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-30-255, author = {A. Gradusov , VitalyA. Roudnev , VladimirA. Yarevsky , Evgeny and L. Yakovlev , Sergey}, title = {Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning}, journal = {Communications in Computational Physics}, year = {2021}, volume = {30}, number = {1}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2020-0097}, url = {http://global-sci.org/intro/article_detail/cicp/18881.html} }
TY - JOUR T1 - Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning AU - A. Gradusov , Vitaly AU - A. Roudnev , Vladimir AU - A. Yarevsky , Evgeny AU - L. Yakovlev , Sergey JO - Communications in Computational Physics VL - 1 SP - 255 EP - 287 PY - 2021 DA - 2021/04 SN - 30 DO - http://doi.org/10.4208/cicp.OA-2020-0097 UR - https://global-sci.org/intro/article_detail/cicp/18881.html KW - Faddeev-Merkuriev equations, total orbital momentum representation, spline collocation, tensor product preconditioner. AB -

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.

Vitaly A. Gradusov, Vladimir A. Roudnev, Evgeny A. Yarevsky & Sergey L. Yakovlev. (2021). Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning. Communications in Computational Physics. 30 (1). 255-287. doi:10.4208/cicp.OA-2020-0097
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