We solve the time-dependent Schrödinger equation using the split-operator scheme in both the interaction and the Schrödinger pictures for the collinear reactive HH 2 scattering. We compare the reaction probabilities computed in both cases and have found that they agree within the error involved in the numerical implementation of the change of picture. The final wavefunctions computed in both cases when expressed in the same picture also agree within the same numerical error. This indicates that for the time-propagation of the wavefunction using the split-operator approach the choice of picture is irrelevant. Conversely, it is important for the computation of physical quantities, such as vibrational transition probabilities.