Quantum problem of the potential of a ring charged on the symmetry axis

• URL: http://arxiv.org/abs/2304.10378v1
• Date: Mon, 17 Apr 2023 00:27:38 GMT
• Title: Quantum problem of the potential of a ring charged on the symmetry axis
• Authors: Wytler Cordeiro dos Santos, Bruno Carmo Nunes and Ronni G.G. Amorim
• Abstract summary: This problem should be an expanded version of the usual quantum ring and quantum corral. We calculate numerically the spectrum and wave functions related to charged particle located on the symmetry axis of charged ring.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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