J-matrix method of scattering for potentials with inverse square singularity: The real representation

A. D. Alhaidari; H. Bahlouli; S. M. Al-Marzoug; M. S. Abdelmonem

doi:10.1088/0031-8949/90/5/055205

J-matrix method of scattering for potentials with inverse square singularity: The real representation

A. D. Alhaidari
, H. Bahlouli
, S. M. Al-Marzoug
, M. S. Abdelmonem

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful scattering methods. Recently, we extended the method to the treatment of potentials with r^-1 singularity. In this work, we do the same for r^-1 singular potentials.

Original language	English
Article number	055205
Journal	Physica Scripta
Volume	90
Issue number	5
DOIs	https://doi.org/10.1088/0031-8949/90/5/055205
State	Published - 1 May 2015

Bibliographical note

Publisher Copyright:
© 2015 The Royal Swedish Academy of Sciences.

Keywords

J-matrix method
inverse square potential
scattering
tridiagonal physics

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1088/0031-8949/90/5/055205

Cite this

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title = "J-matrix method of scattering for potentials with inverse square singularity: The real representation",

abstract = "The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful scattering methods. Recently, we extended the method to the treatment of potentials with r-1 singularity. In this work, we do the same for r-1 singular potentials.",

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author = "Alhaidari, \{A. D.\} and H. Bahlouli and Al-Marzoug, \{S. M.\} and Abdelmonem, \{M. S.\}",

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AU - Alhaidari, A. D.

AU - Bahlouli, H.

AU - Al-Marzoug, S. M.

AU - Abdelmonem, M. S.

PY - 2015/5/1

Y1 - 2015/5/1

N2 - The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful scattering methods. Recently, we extended the method to the treatment of potentials with r-1 singularity. In this work, we do the same for r-1 singular potentials.

AB - The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful scattering methods. Recently, we extended the method to the treatment of potentials with r-1 singularity. In this work, we do the same for r-1 singular potentials.

KW - J-matrix method

KW - inverse square potential

KW - scattering

KW - tridiagonal physics

UR - https://www.scopus.com/pages/publications/84929484426

U2 - 10.1088/0031-8949/90/5/055205

DO - 10.1088/0031-8949/90/5/055205

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VL - 90

JO - Physica Scripta

JF - Physica Scripta

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ER -

J-matrix method of scattering for potentials with inverse square singularity: The real representation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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