On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator in non-simply connected domains

Bernard Helffer; Mikael Persson Sundqvist

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arXiv · 1702.02404

On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator in non-simply connected domains

Bernard Helffer·Mikael Persson Sundqvist

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Abstract

We consider the Dirichlet Pauli operator in bounded connected domains in the plane, with a semi-classical parameter. We show, in particular, that the ground state energy of this Pauli operator will be exponentially small as the semi-classical parameter tends to zero and estimate this decay rate. This extends our results, discussing the results of a recent paper by Ekholm--Kova\v{r}\'ik--Portmann, to include also non-simply connected domains.

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BibTeX RIS

Bernard Helffer, Mikael Persson Sundqvist. 2017-02-08. On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator in non-simply connected domains. https://arxiv.org/abs/1702.02404

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