Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method

DOI10.1007/s11075-017-0275-3zbMath1383.65086OpenAlexW2587128349MaRDI QIDQ1681772

Mohammed M. Tharwat, Rashad M. Asharabi

Publication date: 24 November 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0275-3

zbMATH Keywords

numerical exampleeigenvalueerror estimatesconvergence ratesinc methodsDirac systemHermite-Gauss method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods ⋮ Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series ⋮ Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime

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