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arXiv · 2303.03902

An Optimal Minimization Problem In The Lowest Landau Level And Related Questions

Valentin Schwinte
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Abstract

We solve a minimization problem related to the cubic Lowest Landau level equation, which is used in the study of Bose-Einstein condensation. We provide an optimal condition for the Gaussian to be the unique global minimizer. This extends previous results from P. G{\'e}rard, P. Germain and L. Thomann. We then provide another condition so that the second special Hermite function is a global minimizer.

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Valentin Schwinte. 2023-03-07. An Optimal Minimization Problem In The Lowest Landau Level And Related Questions. https://arxiv.org/abs/2303.03902

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