# Scattering theory for Lindblad master equations

## Metadata

### Comm. Math. Phys. 350 (3), 1185-1218 (2017)

The full published version is available under subscription at Communications in Mathematical Physics.

### arXiv 1602.04045

The preprint in pdf is available at arXiv.org.

### Bibtex

The bibtex entry for the article can be downloaded here.

## Abstract

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.