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

Journal of Mathematical Physics, ISSN: 0022-2488, Vol: 57, Issue: 6
2016
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Article Description

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

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