Inverse boundary value problems and the Aharonov-Bohm effect

We consider the inverse boundary value problem for the Schrodinger equation with electromagnetic or Yang-Mills potentials in multiconnected domains Omega subset of R-n, n greater than or equal to 2. We prove that if the Dirichlet-to-Neumann operators on a partial derivativeOmega are gauge equivalent then the corresponding potentials are gauge equivalent too. The multiconnectedness of Omega leads to the Aharonov-Bohm effect.