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