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Magnetic quantum currents in the presence of a Neumann wall

Abstract

We consider the Schrödinger operator with constant transverse magnetic field on a half-plane, endowed with Neumann boundary conditions. We study the low energy currents flowing along the boundary and we establish a Limiting Absorption Principle for the magnetic Neumann Laplacian under perturbation of an electric potential.
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Dates and versions

hal-03561109 , version 1 (08-02-2022)

Identifiers

  • HAL Id : hal-03561109 , version 1

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Nicolas Raymond, Éric Soccorsi. Magnetic quantum currents in the presence of a Neumann wall. 2022. ⟨hal-03561109⟩
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