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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.03902 |
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| _version_ | 1866916489505800192 |
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| author | Schwinte, Valentin |
| author_facet | Schwinte, Valentin |
| contents | 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{é}rard, P. Germain and L. Thomann. We then provide another condition so that the second special Hermite function is a global minimizer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03902 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Optimal Minimization Problem In The Lowest Landau Level And Related Questions Schwinte, Valentin Analysis of PDEs 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{é}rard, P. Germain and L. Thomann. We then provide another condition so that the second special Hermite function is a global minimizer. |
| title | An Optimal Minimization Problem In The Lowest Landau Level And Related Questions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.03902 |