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A basis set comparison in a variational scheme for the Yukawa potential

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Abstract

The variational method is used to obtain solutions to Schrödinger's equation for a particle in the radially screened Yukawa potential. A basis set is presented. While the Laguerre basis set shows considerable improvement over the hydrogenic one, problems are still encountered as the screening parameter approaches its threshold value. Variational calculations are also presented using an Eckart-type basis set which looks promising near the critical screening region.

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Authors and Affiliations

  1. Department of Engineering Sciences, Faculty of Sciences and Letters, Istanbul Technical University, Ayazaga Campus, 80626, Maslak-Istanbul, Turkey

    M. Demiralp

  2. Department of Mathematics, TÜBITAK, Marmara Research Center, P.O. Box 21, 41470, Gebze-Kocaeli, Turkey

    N. A. Baykara & H. Taşeli

Authors
  1. M. Demiralp
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  2. N. A. Baykara
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  3. H. Taşeli
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Demiralp, M., Baykara, N.A. & Taşeli, H. A basis set comparison in a variational scheme for the Yukawa potential. J Math Chem 11, 311–323 (1992). https://doi.org/10.1007/BF01164211

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  • DOI: https://doi.org/10.1007/BF01164211

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