Stability estimate for the aligned magnetic field in a periodic quantum waveguide from Dirichlet-to-Neumann map

摘要

In this article, we study the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic Schrodinger equation in a periodic quantum cylindrical waveguide, by knowledge of the Dirichlet-to-Neumann map. We prove a Holder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrodinger equation. Published by AIP Publishing.