Abstract
We consider the inverse boundary value problem for the Schrödinger equation with electromagnetic or Yang–Mills potentials in multiconnected domains Ω ⊂ Rn, n ≥ 2. We prove that if the Dirichlet-to-Neumann operators on ∂Ω are gauge equivalent then the corresponding potentials are gauge equivalent too. The multiconnectedness of Ω leads to the Aharonov–Bohm effect.
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