[en] Based on the Enss–Weder time-dependent method, we study one of the multidimensional inverse scattering problems for quantum systems in an external electric field asymptotically zero in time as E₀(1 + |t|)^−μ with 0 < μ < 1, where E₀ is a non-zero constant electric field. We show that when the space dimension is greater than or equal to 2, the high velocity limit of the scattering operator determines uniquely the short-range potential like |x|^−γ with γ > 1/(2 − μ). Moreover, we prove that the high velocity limit of any one of the Dollard-type modified scattering operators determines uniquely the total potential. Dedicated to the memory of Professor Tetsuro Miyakawa