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

2024/09/30 by Francisco M. Fernández, Fernández, Francisco M.
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2410.00138

openalex publication_date 2024/09/30 · openalex created_date 2024/10/28 · openalex updated_date 2026/07/28

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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