On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929721795674112 |
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| author | Bernard, Helffer François, Nicoleau |
| author_facet | Bernard, Helffer François, Nicoleau |
| contents | Inspired by a paper by T. Chakradhar, K. Gittins, G. Habib and N. Peyerimhoff, we analyze their conjecture that the ground state energy of the magnetic Dirichlet-to-Neumann operator on the disk tends to $+\infty$ as the magnetic field tends to $+\infty$. This is an important step towards the analysis of the curvature effect in the case of general domains in $\mathbb R^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit-- Bernard, Helffer François, Nicoleau Analysis of PDEs Mathematical Physics Spectral Theory 35P20, 35Q40 Inspired by a paper by T. Chakradhar, K. Gittins, G. Habib and N. Peyerimhoff, we analyze their conjecture that the ground state energy of the magnetic Dirichlet-to-Neumann operator on the disk tends to $+\infty$ as the magnetic field tends to $+\infty$. This is an important step towards the analysis of the curvature effect in the case of general domains in $\mathbb R^2$. |
| title | On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit-- |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory 35P20, 35Q40 |
| url | https://arxiv.org/abs/2411.15522 |