Spherical quantum well
Mesoscale and Nanoscale Physics
2023-07-11 v1
Abstract
Standard power series are used to construct and analyze angular and radial spheroidal functions, which are necessary for solving boundary value problems for Helmholtz equation in a spheroid. With an advanced approach the low-lying energy levels of a deep spheroidal quantum well are calculated as a function of the spheroid semiaxes ratio a/b. The well-known results for cylindrical and spherical wells are reproduced in the limits a/b >> 1, and a/b ~ 1, respectively.
Keywords
Cite
@article{arxiv.2307.04124,
title = {Spherical quantum well},
author = {N. A. Usov},
journal= {arXiv preprint arXiv:2307.04124},
year = {2023}
}
Comments
10 pages, 4 figures