Electron states and quantum transitions in a quantum ring on a sphere
Mesoscale and Nanoscale Physics
2013-06-27 v1 Quantum Physics
Abstract
An analytical solution of the quantum problem of an electron on a spherical segment with angular confinement potential of the form of rectangular impenetrable walls is presented. It is shown that the problem is reduced to finding solution of hypergeometric equation. As an application of the obtained results the quantum transitions in this system are discussed, and it is shown that the selection rule for quantum number l is removed due to the violation of spherical symmetry of the problem.
Cite
@article{arxiv.1306.6165,
title = {Electron states and quantum transitions in a quantum ring on a sphere},
author = {Eduard M Kazaryan and Vanik A Shahnazaryan and Hayk A Sarkisyan},
journal= {arXiv preprint arXiv:1306.6165},
year = {2013}
}