Abstract
We introduce a new numerical method for calculating continuum excitation probabilities of complex physical systems under the influence of external, time-dependent, and nonperturbative fields. The method utilizes a discretized form of the Hamiltonian on a space lattice and is particularly suited for large scale computations involving many-body systems. We perform a comparative study for a model problem by solving the same time-dependent Schr\"odinger equation in spherical and cylindrical coordinates. As a realistic example, we apply the method to the problem of prompt nucleon emission in low energy heavy-ion reactions.
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