The inverse problem of determining a source in the dynamical Schrödinger equation iu _t - u _xx + q(x) = w(t)a(x), 0 < x < 1, with zero Dirichlet boundary conditions and zero initial condition, is considered. From the measurement of u _x(0, t), 0 < t < T, the unknown source a (x) is recovered, provided that q(x) and w(t) are given. Also, it is described how one can recover a (x) and q (x) simultaneously from measurements at both boundary points. Bibliography: 16 titles.