J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization

Abdulaziz D. Alhaidari; Hocine Bahlouli; S. M. Al-Marzoug; Carlos P. Aparicio

doi:10.1016/j.aop.2022.169029

J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization

Abdulaziz D. Alhaidari
, Hocine Bahlouli
, S. M. Al-Marzoug^*
, Carlos P. Aparicio

^*Corresponding author for this work

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

1 Scopus citations

Abstract

This paper is a continuation of the previous one (Alhaidari et al., 2022). Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to restore rapid convergence of the calculation in the theory and recover the conventional tridiagonal representation. Partial success is achieved.

Original language	English
Article number	169029
Journal	Annals of Physics
Volume	444
DOIs	https://doi.org/10.1016/j.aop.2022.169029
State	Published - Sep 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Inc.

Keywords

Inverse square potential
J-matrix method
Regularization
Scattering

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.aop.2022.169029

Cite this

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title = "J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization",

abstract = "This paper is a continuation of the previous one (Alhaidari et al., 2022). Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to restore rapid convergence of the calculation in the theory and recover the conventional tridiagonal representation. Partial success is achieved.",

keywords = "Inverse square potential, J-matrix method, Regularization, Scattering",

author = "Alhaidari, \{Abdulaziz D.\} and Hocine Bahlouli and Al-Marzoug, \{S. M.\} and Aparicio, \{Carlos P.\}",

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AU - Alhaidari, Abdulaziz D.

AU - Bahlouli, Hocine

AU - Al-Marzoug, S. M.

AU - Aparicio, Carlos P.

PY - 2022/9

Y1 - 2022/9

N2 - This paper is a continuation of the previous one (Alhaidari et al., 2022). Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to restore rapid convergence of the calculation in the theory and recover the conventional tridiagonal representation. Partial success is achieved.

AB - This paper is a continuation of the previous one (Alhaidari et al., 2022). Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to restore rapid convergence of the calculation in the theory and recover the conventional tridiagonal representation. Partial success is achieved.

KW - Inverse square potential

KW - J-matrix method

KW - Regularization

KW - Scattering

UR - https://www.scopus.com/pages/publications/85134743175

U2 - 10.1016/j.aop.2022.169029

DO - 10.1016/j.aop.2022.169029

M3 - Article

AN - SCOPUS:85134743175

SN - 0003-4916

VL - 444

JO - Annals of Physics

JF - Annals of Physics

M1 - 169029

ER -

J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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