The Observables of a Dissipative Quantum System
Dariusz Chruściński, Paolo Facchi, Giuseppe Marmo, Saverio Pascazio · Open Systems & Information Dynamics · 2012
A time-dependent product is introduced between the observables of a dissipative quantum system, that accounts for the effects of dissipation on observables and commutators. In the t → ∞ limit this yields a contracted algebra. This product can be transported back by duality on the space of states. The general ideas are corroborated by a few explicit examples.