  We study scattering theory for a quantum-mechanical system consisting of a
particle scattered off a dynamical target that occupies a compact region in
position space. After taking a trace over the degrees of freedom of the target,
the dynamics of the particle is generated by a Lindbladian acting on the space
of trace-class operators. We study scattering theory for a general class of
Lindbladians with bounded interaction terms. First, we consider models where a
particle approaching the target is always re-emitted by the target. Then we
study models where the particle may be captured by the target. An important
ingredient of our analysis is a scattering theory for dissipative operators on
Hilbert space.
