Abstract
The problem under consideration in this article is the inverse boundary spectral problem for the Schrödinger operator with magnetic field. The operator is considered on a compact Riemannian manifold (with nonzero boundary) so that the corresponding unperturbed operator is the Laplace–Beltrami operator on the manifold. It is shown that boundary spectral data determine the potential and the boundary impedance uniquely, while the magnetic field may be found to within the group of gauge transformations.
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