Positive Commutators in Non-Equilibrium Quantum Statistical Mechanics ∗

摘要: The method of positive commutators, developed for zero temperature problems over the last twenty years, has been an essential tool in spectral analysis Hamiltonians quantum mechanics. We extend this to temperatures, i.e. non-equilibrium statistical use commutator technique give alternative proof a fundamental property certain class large systems, called Return Equilibrium. This says that equilibrium states are (asymptotically) stable: if system is slightly perturbed from its state, then it converges back state as time goes infinity.