On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator

We discuss the results of a recent paper by Ekholm, Kova\v{r}\'ik and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue of the Pauli operator with Dirichlet conditions. We exhibit connections with the properties of the torsion fun...

Full description

Saved in:
Bibliographic Details
Main Authors Helffer, Bernard, Sundqvist, Mikael Persson
Format Journal Article
LanguageEnglish
Published 13.05.2016
Subjects
Mathematics - Spectral Theory
Online AccessGet full text

Cover

More Information
Summary:We discuss the results of a recent paper by Ekholm, Kova\v{r}\'ik and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue of the Pauli operator with Dirichlet conditions. We exhibit connections with the properties of the torsion function in mechanics, the exit time of a Brownian motion and the analysis of the low eigenvalues of some Witten Laplacian.
DOI:10.48550/arxiv.1605.04193