DETERMINING THE POTENTIAL AND THE GRADIENT COUPLING OF TWO-STATE QUANTUM SYSTEMS IN AN INFINITE WAVEGUIDE

We consider the inverse coefficient problem of simultaneously determining the space dependent electric potential, the zero-th order coupling term and the first order coupling vector of a two-state Schrödinger equation in an infinite cylindrical domain of R n , n ≥2, from finitely many partial boundary measurements of the solution. We prove that these n +3 unknown scalar coefficients can be Hölder stably retrieved by ( n +1)-times suitably changing the initial condition attached at the system.