Computation of resonances and bound states using J-matrix approach

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)335-344
Number of pages10
JournalApplied Mathematics and Information Sciences
Volume3
Issue number3
Publication statusPublished - 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

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