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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