On the misinterpretation of conditionally-solvable quantum-mechanical problems

• URL: http://arxiv.org/abs/2205.07884v2
• Date: Wed, 18 May 2022 22:14:04 GMT
• Title: On the misinterpretation of conditionally-solvable quantum-mechanical problems
• Authors: Francisco M. Fern\'andez
• Abstract summary: We show that the supposedly exact solutions to radial eigenvalue equations derived in recent papers are not correct because they do not satisfy some well-known theorems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We apply the Frobenius (power-series) method to some simple exactly-solvable and conditionally-solvable quantum-mechanical models with supposed physical interest. We show that the supposedly exact solutions to radial eigenvalue equations derived in recent papers are not correct because they do not satisfy some well-known theorems. We also discuss the origin of the mistake by means of the approach indicated above.

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