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arXiv · 2008.01773

The truncated Coulomb potential revisited

Francisco M. Fernández
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Abstract

We apply the Frobenius method to the Schr\"{o}dinger 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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Francisco M. Fernández. 2020-08-04. The truncated Coulomb potential revisited. https://arxiv.org/abs/2008.01773

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