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An auto-coherent variational scheme for Yukawa potential

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Abstract

The variational principle is used to obtain solutions to Schrödinger's equation for a particle in the Yukawa potential. A Laguerre basis set extended by an extra function is employed in the calculations. A special parameter used in the extra function and its relation with the systems energy results in utilizing an auto-coherent scheme. Considerable improvement seems to be achieved especially in the critical region where the screening parameter approaches its threshold value.

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Authors and Affiliations

  1. Department of Mathematics, The Scientific and Technical Research Council of Turkey, Marmara Research Institute, P. O. Box 21, 41470, Gebze-Kocaeli, Turkey

    N. A. Baykara

  2. Sciences and LettersFaculty, Engineering Sciences Department, Istanbul Technical University, Maslak, 80626, Istanbul, Turkey

    Metin Demiralp

Authors
  1. N. A. Baykara
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  2. Metin Demiralp
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Baykara, N.A., Demiralp, M. An auto-coherent variational scheme for Yukawa potential. J Math Chem 16, 167–183 (1994). https://doi.org/10.1007/BF01169205

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  • DOI: https://doi.org/10.1007/BF01169205

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