ON THE SEMI-CLASSICAL ANALYSIS OF THE GROUNDSTATE ENERGY OF THE DIRICHLET PAULI OPERATORReport as inadecuate




ON THE SEMI-CLASSICAL ANALYSIS OF THE GROUNDSTATE ENERGY OF THE DIRICHLET PAULI OPERATOR - Download this document for free, or read online. Document in PDF available to download.

1 LMJL - Laboratoire de Mathématiques Jean Leray 2 LM-Orsay - Laboratoire de Mathématiques d-Orsay 3 Lund University Lund

Abstract : We complete and improve the results of a recent paper by Ekholm, Kovarik 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.

Keywords : Pauli operator eigenvalue Witten Laplacian





Author: Bernard Helffer - Mikael Sundqvist -

Source: https://hal.archives-ouvertes.fr/



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