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Magnetic quantum currents in the presence of a Neumann wall
Published 8 Feb 2022 in math-ph, math.MP, and math.SP | (2202.03710v1)
Abstract: We consider the Schr\"odinger 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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