Quantum problem of the potential of a ring charged on the symmetry axis
Quantum Physics
2025-08-01 v1
Abstract
In this work we discuss about the problem of an electrically charged particle placed on the symmetry axis of an electrically charged ring in a quantum viewpoint. This problem should be an expanded version of the usual quantum ring and quantum corral. For this purpose, we present a detailed and pedagogical review about a version of the quantum ring focusing in mathematical aspects. As a new result, we calculate numerically the spectrum and wave functions related to charged particle located on the symmetry axis of charged ring and respective wave functions using two different ways: Numerov and perturbative method.
Keywords
Cite
@article{arxiv.2304.10378,
title = {Quantum problem of the potential of a ring charged on the symmetry axis},
author = {Wytler Cordeiro dos Santos and Bruno Carmo Nunes and Ronni G. G. Amorim},
journal= {arXiv preprint arXiv:2304.10378},
year = {2025}
}
Comments
10 pages, 6 figures