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arXiv · 2410.15456

On the exact solutions of a one-dimensional Schr\"odinger equation with a rational potential

Francisco M. Fernández
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Abstract

We analyse the exact solutions of a conditionally-solvable Schr\"odinger equation with a rational potential. From the nodes of the exact eigenfunctions we derive a connection between the otherwise isolated exact eigenvalues and the actual eigenvalues of the Hamiltonian operator.

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Francisco M. Fernández. 2024-10-20. On the exact solutions of a one-dimensional Schr\"odinger equation with a rational potential. https://arxiv.org/abs/2410.15456

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