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Pré-Publication, Document De Travail Année : 2019

Purely magnetic tunneling effect in two dimensions

Résumé

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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Dates et versions

hal-02399073 , version 1 (08-12-2019)
hal-02399073 , version 2 (09-03-2021)

Identifiants

  • HAL Id : hal-02399073 , version 1

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Virginie Bonnaillie-Noël, Frédéric Hérau, Nicolas Raymond. Purely magnetic tunneling effect in two dimensions. 2019. ⟨hal-02399073v1⟩
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