On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator III: magnetic fields that change sign

Author:

Helffer Bernard,Kovařík HynekORCID,Sundqvist Mikael P.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference20 articles.

1. Barbaroux, J.-M., Le Treust, L., Raymond, N., Stockmeyer, E.: On the semi-classical spectrum of the Dirichlet-Pauli operator. arXiv:1804.00903v1 (October 2018)

2. Bovier, A., Eckhoff, M., Gayrard, V., Klein, M.: Metastability in reversible diffusion processes I: sharp asymptotics for capacities and exit times. JEMS 6(4), 399–424 (2004)

3. Bovier, A., Gayrard, V., Klein, M.: Metastability in reversible diffusion processes II: precise asymptotics for small eigenvalues. JEMS 7(1), 69–99 (2004)

4. Dauge, M.: Neumann and mixed problems on curvilinear polyhedra. Integral Equ. Oper. Theory. 15, 227–261 (1992)

5. Di Gesu, G., Le Peutrec, D., Lelièvre, T., Nectoux, B.: Sharp asymptotics of the first exit point density. arXiv:1706.08726 (2017)

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1. Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus;Journal of Mathematical Physics;2022-05-01

2. The exit from a metastable state: Concentration of the exit point distribution on the low energy saddle points, part 1;Journal de Mathématiques Pures et Appliquées;2020-06

3. Sign changing solutions of Poisson's equation;Proceedings of the London Mathematical Society;2020-04-29

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