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Magnetic quantum currents in the presence of a Neumann wall
- Publication Year :
- 2022
-
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.
- Subjects :
- Mathematical Physics
Mathematics - Spectral Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2202.03710
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/5.0136351