Purely magnetic tunneling effect in two dimensions

Abstract : The semiclassical magnetic Neumann Schrödinger operator on a smooth, bounded, and simply connected domain Ω of the Euclidean plane is considered. When Ω has a symmetry axis, the semiclassical splitting of the first two eigenvalues is analyzed. The first explicit tunneling formula in a pure magnetic field is established. The analysis is based on a pseudo-differential reduction to the boundary and the proof of the first known optimal purely magnetic Agmon estimates.
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https://hal.archives-ouvertes.fr/hal-02399073
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Submitted on : Sunday, December 8, 2019 - 7:07:18 PM
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Virginie Bonnaillie-Noël, Frédéric Hérau, Nicolas Raymond. Purely magnetic tunneling effect in two dimensions. 2019. ⟨hal-02399073⟩

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