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The truncated Coulomb potential revisited

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Abstract

We apply the Frobenius method to the Schrödinger equation with a truncated Coulomb potential. By means of the tree-term recurrence relation for the expansion coefficients we truncate the series and obtain exact eigenfunctions and eigenvalues. From a judicious arrangement of the exact eigenvalues we derive useful information about the whole spectrum of the problem and can obtain other eigenvalues by simple and straightforward interpolation.

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Authors and Affiliations

  1. División Química Teórica, INIFTA, Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Francisco M. Fernández

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  1. Francisco M. Fernández
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Correspondence to Francisco M. Fernández.

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Fernández, F.M. The truncated Coulomb potential revisited. J Math Chem 61, 1–6 (2023). https://doi.org/10.1007/s10910-022-01405-z

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  • DOI: https://doi.org/10.1007/s10910-022-01405-z

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