(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2012) Mielke, Alexander
Pure quantum mechanics can be formulated as a Hamiltonian system in terms of the density
matrix. Dissipative effects are modeled via coupling to a macroscopic system, where the coupling
operators act via commutators. Following Öttinger (2010) we use the GENERIC framework (General
Equations for Non-Equilibrium Reversible Irreversible Coupling) to construct thermodynamically
consistent evolution equations as a sum of a Hamiltonian and a gradient-flow contribution,
which satisfy a particular non-interaction condition:
