Seminari del Dipartimento
Fisica Matematica Scattering theory for Lindblad-type open systems Marco Falconi 26-04-2016 - 14:30 AULA 311 (SEMINARI) Largo San L. Murialdo,1
In this talk I will discuss the long time asymptotics for open quantum systems of Lindblad-type. The exemplifying model is the quantum dynamics of a particle scattered off a dynamical target, the latter occupying a compact region of space. Under suitable assumptions on the interaction, we are able to prove the existence of wave operators, and asymptotic completeness (in a suitable sense). Even if the Lindblad operator acts on the trace class ideal, one of the main ingredients for the proof is a theory of scattering for dissipative operators in Hilbert spaces. Based on a joint work with J. Faupin, J. Frö̈hlich, and B. Schubnel. |