A most misunderstood conditionally-solvable quantum-mechanical model

• URL: http://arxiv.org/abs/2109.11545v1
• Date: Thu, 23 Sep 2021 12:38:35 GMT
• Title: A most misunderstood conditionally-solvable quantum-mechanical model
• Authors: Francisco M. Fern\'andez
• Abstract summary: We show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solvable quantum-mechanical model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper we show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solvable quantum-mechanical model. It consists of an eigenvalue equation with seemingly Coulomb, linear and harmonic terms. Here we compare the results derived by those authors with the actual eigenvalues of the models calculated by means of the Ritz variational method.

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