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arXiv · 1506.08429

Comparing energy levels in isotropic and anisotropic potentials

Alexander Pikovski
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Abstract

Qualitative information about the quantized energy levels of a system can be of great value. We study the relationship between the bound-state energies of an anisotropic potential and those of its spherical average. It is shown that the two ground-state energies satisfy an inequality, and there is a similar inequality for the first excited states.

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Alexander Pikovski. 2015-06-28. Comparing energy levels in isotropic and anisotropic potentials. https://doi.org/10.1016/j.physleta.2015.09.022

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