On the misinterpretation of conditionally-solvable quantum-mechanical problems

2022/05/15 by Francisco M. Fernández, Fernández, Francisco M.
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2205.07884

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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