Abstract:
We consider the Schrödinger equation in R n, n≥ 3, with external Yang–Mills potentials having compact supports. We prove the uniqueness modulo a gauge transformation of the solution of the inverse boundary value problem in a bounded convex domain. A similar uniqueness result holds for the inverse scattering problem at a fixed energy.
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Received: 11 August 2000 / Accepted: 24 May 2001
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Eskin, G. Global Uniqueness in the Inverse Scattering Problem¶for the Schrödinger Operator¶with External Yang–Mills Potentials. Commun. Math. Phys. 222, 503–531 (2001). https://doi.org/10.1007/s002200100522
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DOI: https://doi.org/10.1007/s002200100522