On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator

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• 作者：Bernard Helffer^a ; ^b ; ^{bernard.helffer@univ-nantes.fr} ; Mikael Persson Sundqvist^c ; ^{mickep@maths.lth.se}
• 关键词：Pauli operator ; Dirichlet ; Semiclassical ; Torsion
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：138-153
• 全文大小：589 K
• 卷排序：449

文摘

We complete and improve the results of a recent paper by Ekholm, Kovařík 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.