Global uniqueness in determining electric potentials for a system of strongly coupled Schrodinger equations with magnetic potential terms

We consider the inverse problem of determining simultaneously two unknown electric potential coefficients for a system of two general strongly coupled Schrodinger equations, with magnetic potential terms, and with Neumann boundary conditions, from single Dirichlet measurements on a portion Gamma(1) of the boundary. Under suitable geometrical assumptions on the complementary unobserved portion Gamma(0) of the boundary, we show that one can uniquely determine the two unknown potential coefficients in one shot, from respective Dirichlet boundary measurements on Gamma(1) over an arbitrarily short time interval. The proof is based on a recent Carleman estimate in [19] for single Schrodinger equations. It also takes advantage of a convenient route "post-Carleman estimates" suggested by [12, Theorem 8.2.2, p. 231].