The relativistic J-matrix theory of scattering: An analytic solution

A. D. Alhaidari

doi:10.1063/1.1445288

The relativistic J-matrix theory of scattering: An analytic solution

A. D. Alhaidari^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

6 Scopus citations

Abstract

The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L² bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The nonrelativistic limit is obtained and shown to be identical to the familiar nonrelativistic J-matrix.

Original language	English
Pages (from-to)	1129-1135
Number of pages	7
Journal	Journal of Mathematical Physics
Volume	43
Issue number	3
DOIs	https://doi.org/10.1063/1.1445288
State	Published - 1 Mar 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1445288

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title = "The relativistic J-matrix theory of scattering: An analytic solution",

abstract = "The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L2 bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The nonrelativistic limit is obtained and shown to be identical to the familiar nonrelativistic J-matrix.",

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AB - The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L2 bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The nonrelativistic limit is obtained and shown to be identical to the familiar nonrelativistic J-matrix.

UR - https://www.scopus.com/pages/publications/0035981855

U2 - 10.1063/1.1445288

DO - 10.1063/1.1445288

M3 - Article

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SP - 1129

EP - 1135

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

ER -

The relativistic J-matrix theory of scattering: An analytic solution

Abstract

ASJC Scopus subject areas

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