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On the computation of the eigenvalues of Dirac systems

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Abstract

The main purpose of this paper is to compute the eigenvalues of Dirac systems using a regularized sampling method. The operator examined here is the massless Dirac operator on a finite interval. The problem with singular coefficients is not covered in the present analysis. But problems whose coefficients may involve finite jumps of discontinuities are involved. The regularized technique allows us to insert some parameters to the well known sinc method; strengthening the existing sinc technique and to avoid the aliasing error. Examples are presented to demonstrate the credibility of the method with graphs and numerical illustrations.

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Authors and Affiliations

  1. Department of Mathematics, Statistics & Physics, Qatar University, P.O. Box 2713, Doha, Qatar

    M. H. Annaby

  2. Department of Mathematics, University College, Umm Al-Qura University, Makkah, Saudi Arabia

    M. M. Tharwat

Authors
  1. M. H. Annaby
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  2. M. M. Tharwat
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Correspondence to M. M. Tharwat.

Additional information

M.H. Annaby is on leave from Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.

M.M. Tharwat is on leave from Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt.

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Annaby, M.H., Tharwat, M.M. On the computation of the eigenvalues of Dirac systems. Calcolo 49, 221–240 (2012). https://doi.org/10.1007/s10092-011-0052-y

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  • DOI: https://doi.org/10.1007/s10092-011-0052-y

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