On the exact solutions of a one-dimensional Schrödinger equation with a rational potential

• URL: http://arxiv.org/abs/2410.15456v1
• Date: Sun, 20 Oct 2024 17:45:19 GMT
• Title: On the exact solutions of a one-dimensional Schrödinger equation with a rational potential
• Authors: Francisco M. Fernández,
• Abstract summary: 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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• 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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