The truncated Coulomb potential revisited

• URL: http://arxiv.org/abs/2008.01773v1
• Date: Tue, 4 Aug 2020 19:20:21 GMT
• Title: The truncated Coulomb potential revisited
• Authors: Francisco M. Fern\'andez
• Abstract summary: We apply the Frobenius method to the Schr"odinger 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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