An Optimal Minimization Problem In The Lowest Landau Level And Related Questions
Analysis of PDEs
2024-11-22 v2
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.
Keywords
Cite
@article{arxiv.2303.03902,
title = {An Optimal Minimization Problem In The Lowest Landau Level And Related Questions},
author = {Valentin Schwinte},
journal= {arXiv preprint arXiv:2303.03902},
year = {2024}
}