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

DOI10.1016/j.jmaa.2016.11.058zbMath1356.81132arXiv1605.04193OpenAlexW2963621990MaRDI QIDQ504838

Bernard Helffer, Mikael Persson Sundqvist

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04193

zbMATH Keywords

torsionPauli operatorsemiclassicalDirichlet

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (10)

Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus ⋮ The Dirac bag model in strong magnetic fields ⋮ On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator in non-simply connected domains ⋮ On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator ⋮ On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator. III: Magnetic fields that change sign ⋮ Inequalities for the lowest magnetic Neumann eigenvalue ⋮ On the semiclassical spectrum of the Dirichlet-Pauli operator ⋮ Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains application to the extended Courant property ⋮ Edge States for the Magnetic Laplacian in Domains with Smooth Boundary ⋮ On Duclos–Exner’s conjecture about waveguides in strong uniform magnetic fields

Uses Software

• DLMF

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