On obtaining the scattering potential and its moments in the partial wave born approximation

H. A. Mavromatis; A. M. Al-Jalal

doi:10.1063/1.528751

On obtaining the scattering potential and its moments in the partial wave born approximation

H. A. Mavromatis^*, A. M. Al-Jalal

^*Corresponding author for this work

Department of Physics

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

5 Scopus citations

Abstract

Mathematical techniques are used to invert the the partial wave Born approximation. Two expressions are obtained for the scattering potential. Additionally simple expressions are given for various moments of this scattering potential. These results are illustrated by some analytic examples. Finally a few numerical calculations are performed using both "Born approximation" and "experimental" phase shifts in the relevant expressions.

Original language	English
Pages (from-to)	1181-1188
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	31
Issue number	5
DOIs	https://doi.org/10.1063/1.528751
State	Published - 1990

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.528751

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title = "On obtaining the scattering potential and its moments in the partial wave born approximation",

abstract = "Mathematical techniques are used to invert the the partial wave Born approximation. Two expressions are obtained for the scattering potential. Additionally simple expressions are given for various moments of this scattering potential. These results are illustrated by some analytic examples. Finally a few numerical calculations are performed using both {"}Born approximation{"} and {"}experimental{"} phase shifts in the relevant expressions.",

author = "Mavromatis, \{H. A.\} and Al-Jalal, \{A. M.\}",

year = "1990",

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pages = "1181--1188",

journal = "Journal of Mathematical Physics",

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AU - Mavromatis, H. A.

AU - Al-Jalal, A. M.

PY - 1990

Y1 - 1990

N2 - Mathematical techniques are used to invert the the partial wave Born approximation. Two expressions are obtained for the scattering potential. Additionally simple expressions are given for various moments of this scattering potential. These results are illustrated by some analytic examples. Finally a few numerical calculations are performed using both "Born approximation" and "experimental" phase shifts in the relevant expressions.

AB - Mathematical techniques are used to invert the the partial wave Born approximation. Two expressions are obtained for the scattering potential. Additionally simple expressions are given for various moments of this scattering potential. These results are illustrated by some analytic examples. Finally a few numerical calculations are performed using both "Born approximation" and "experimental" phase shifts in the relevant expressions.

UR - https://www.scopus.com/pages/publications/0040498466

U2 - 10.1063/1.528751

DO - 10.1063/1.528751

M3 - Article

AN - SCOPUS:0040498466

SN - 0022-2488

VL - 31

SP - 1181

EP - 1188

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 5

ER -

On obtaining the scattering potential and its moments in the partial wave born approximation

Abstract

ASJC Scopus subject areas

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