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arXiv · 2411.15522

On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--

Helffer Bernard·Nicoleau François
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Abstract

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 $\mathbb R^2$.

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Helffer Bernard, Nicoleau François. 2024-11-23. On the magnetic Dirichlet to Neumann operator on the disk -- strong diamagnetism and strong magnetic field limit--. https://arxiv.org/abs/2411.15522

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