Just another conditionally-solvable non-relativistic quantum-mechanical model

• URL: http://arxiv.org/abs/2410.00138v1
• Date: Mon, 30 Sep 2024 18:19:32 GMT
• Title: Just another conditionally-solvable non-relativistic quantum-mechanical model
• Authors: Francisco M. Fernández,
• Abstract summary: We show that a perturbed Coulomb problem discussed recently is conditionally solvable. We obtain the exact eigenvalues and eigenfunctions and compare the former with eigenvalues calculated by means of a numerical method.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that a perturbed Coulomb problem discussed recently is conditionally solvable. We obtain the exact eigenvalues and eigenfunctions and compare the former with eigenvalues calculated by means of a numerical method. We discuss the meaning of the numbers that determine the exact solutions which arise from the Frobenius (power-series) method.

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