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Open Quantum Systems Decoherence

The truncated Coulomb potential revisited

arXiv

Authors: Francisco M. Fernández

Year

2020

Paper ID

21706

Status

Preprint

Abstract Read

~2 min

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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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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We apply the Frobenius method to the Schrödinger equation with a truncated Coulomb potential.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2008.01773 [2] arXiv https://arxiv.org/abs/2008.01773 [3] Publisher https://arxiv.org/abs/2008.01773

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