Magnetic quantum currents in the presence of a Neumann wall

The Schrödinger operator with a constant magnetic field on a half-plane with Neumann boundary conditions is considered. Low energy currents flowing along the boundary are analyzed and used to establish a limiting absorption principle for the electrically perturbed operator.

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Bibliographic Details
Published in:Journal of mathematical physics 2023-07, Vol.64 (7)
Main Authors: Raymond, Nicolas, Soccorsi, Éric
Format: Article
Language:English
Subjects:
Boundary conditions
Half planes
Mathematics
Operators (mathematics)
Physics
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Description
Summary:The Schrödinger operator with a constant magnetic field on a half-plane with Neumann boundary conditions is considered. Low energy currents flowing along the boundary are analyzed and used to establish a limiting absorption principle for the electrically perturbed operator.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0136351