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

Department of Physics

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

1 Citation (Scopus)

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
Publication status	Published - Dec 1 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{17f8dc63a75c4db1acf65660eab78458,

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",

month = dec,

day = "1",

language = "English",

volume = "3",

pages = "335--344",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing Corporation",

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 - 2010/12/1

Y1 - 2010/12/1

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 - http://www.scopus.com/inward/record.url?scp=84889590470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84889590470&partnerID=8YFLogxK

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

Other files and links

Fingerprint

Cite this