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arXiv · 2307.04124

Spherical quantum well

N. A. Usov
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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.

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N. A. Usov. 2023-07-09. Spherical quantum well. https://arxiv.org/abs/2307.04124

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