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Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

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Abstract

The present contribution concerns the computation of energy eigenvalues of a perturbed anharmonic Coulombic potential with irregular singularities using a combination of the Sinc collocation method and the double exponential transformation. This method provides a highly efficient and accurate algorithm to compute the energy eigenvalues of one-dimensional time-independent Schrödinger equation. The numerical results obtained clearly illustrate the efficiency and accuracy of the proposed method. The codes are written in Julia and are available on github at https://github.com/pjgaudre/DESincEig.jl.

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Funding

This research received financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC)—Grant RGPIN-2016-04317.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco

    M. Essaouini

  2. École Nationale des Sciences Appliquées, Laboratoire des Sciences de L’ingénieur pour L’énergie, 24002, El Jadida, Morocco

    B. Abouzaid

  3. LabMIA-SI, Faculté des Sciences, Université Mohamed V, Rabat, Morocco

    M. Essaouini & B. Abouzaid

  4. Campus Saint-Jean, University of Alberta, 8406 91 Street, Edmonton, AB, T6C 4G9, Canada

    P. Gaudreau & H. Safouhi

Authors
  1. M. Essaouini
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  2. B. Abouzaid
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  3. P. Gaudreau
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  4. H. Safouhi
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Correspondence to H. Safouhi.

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Essaouini, M., Abouzaid, B., Gaudreau, P. et al. Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities. Numer Algor 84, 1397–1409 (2020). https://doi.org/10.1007/s11075-019-00853-0

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