Abstract
The Lippman-Schwinger equation for the t-matrix in three-dimensional space is solved directly without angular momentum decomposition. As an alternative to avoid the propagator singularity we also study the time-dependent Schrödinger equation. It is solved in integral form and in momentum space by using complex momenta. This damps the energy dependent time factors which for real momenta would be difficult to handle numerically. Examples demonstrate feasibility and usefulness.
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