Global Uniqueness in the Inverse Scattering Problem¶for the Schrödinger Operator¶with External Yang–Mills Potentials
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- Eskin, G. Commun. Math. Phys. (2001) 222: 503. doi:10.1007/s002200100522
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We consider the Schrödinger equation in Rn, 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.