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arXiv · 2304.10378

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

Wytler Cordeiro dos Santos·Bruno Carmo Nunes·Ronni G. G. Amorim
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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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Wytler Cordeiro dos Santos, Bruno Carmo Nunes, Ronni G. G. Amorim. 2023-04-17. Quantum problem of the potential of a ring charged on the symmetry axis. https://doi.org/10.1088/1402-4896%2Fad0336

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