Computation of resonances and bound states using J-matrix approach

I. Nasser; M. S. Abdelmonem; H. Bahlouli; U. Al Khawaja

Computation of resonances and bound states using J-matrix approach

I. Nasser^*
, M. S. Abdelmonem
, H. Bahlouli
, U. Al Khawaja

^*Corresponding author for this work

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

1 Scopus citations

Abstract

The poles of the S-matrix, which represent both resonances and bound states, are being investigated numerically using the J-matrix approach in an infinite L² basis set. These poles are found to be stable against variations in all computational parameters. To test the accuracy and validity of this approach we have implemented our scheme to find the resonance and bound state energies for a well known test potential and compared our results favorably with those obtained previously in the literature.

Original language	English
Pages (from-to)	335-344
Number of pages	10
Journal	Applied Mathematics and Information Sciences
Volume	3
Issue number	3
State	Published - 2010

Keywords

Algebraic scattering
J-matrix
Resonance energies
S-matrix

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

Cite this

@article{5c96d4afefef4688a234acaeec5060b2,

title = "Computation of resonances and bound states using J-matrix approach",

abstract = "The poles of the S-matrix, which represent both resonances and bound states, are being investigated numerically using the J-matrix approach in an infinite L2 basis set. These poles are found to be stable against variations in all computational parameters. To test the accuracy and validity of this approach we have implemented our scheme to find the resonance and bound state energies for a well known test potential and compared our results favorably with those obtained previously in the literature.",

keywords = "Algebraic scattering, J-matrix, Resonance energies, S-matrix",

author = "I. Nasser and Abdelmonem, \{M. S.\} and H. Bahlouli and \{Al Khawaja\}, U.",

year = "2010",

language = "English",

volume = "3",

pages = "335--344",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "3",

}

TY - JOUR

T1 - Computation of resonances and bound states using J-matrix approach

AU - Nasser, I.

AU - Abdelmonem, M. S.

AU - Bahlouli, H.

AU - Al Khawaja, U.

PY - 2010

Y1 - 2010

N2 - The poles of the S-matrix, which represent both resonances and bound states, are being investigated numerically using the J-matrix approach in an infinite L2 basis set. These poles are found to be stable against variations in all computational parameters. To test the accuracy and validity of this approach we have implemented our scheme to find the resonance and bound state energies for a well known test potential and compared our results favorably with those obtained previously in the literature.

AB - The poles of the S-matrix, which represent both resonances and bound states, are being investigated numerically using the J-matrix approach in an infinite L2 basis set. These poles are found to be stable against variations in all computational parameters. To test the accuracy and validity of this approach we have implemented our scheme to find the resonance and bound state energies for a well known test potential and compared our results favorably with those obtained previously in the literature.

KW - Algebraic scattering

KW - J-matrix

KW - Resonance energies

KW - S-matrix

UR - https://www.scopus.com/pages/publications/84889590470

M3 - Article

AN - SCOPUS:84889590470

SN - 1935-0090

VL - 3

SP - 335

EP - 344

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 3

ER -

Computation of resonances and bound states using J-matrix approach

Abstract

Keywords

ASJC Scopus subject areas

Fingerprint

Cite this