Description of isolated macroscopic systems inside quantum mechanics

Details Description of isolated macroscopic systems inside quantum mechanics Description of isolated macroscopic systems inside quantum mechanics

1999-10-09

arxiv.org/abs/quant-ph/9910042v1

Rep. Math. Phys. 46 (2000) 191-202

Physics

Quantum Physics

13 pages, latex, romp31 style, no figures, to appear in the Proceedings of the XXXI Symposium on Mathematical Physics (Torun,

Scientific paper

10.1016/S0034-4877(01)80023-9

For an isolated macrosystem classical state parameters $\zeta(t)$ are introduced inside a quantum mechanical treatment. By a suitable mathematical representation of the actual preparation procedure in the time interval $[T,t_0]$ a statistical operator is constructed as a solution of the Liouville von Neumann equation, exhibiting at time $t$ the state parameters $\zeta(t')$, $t_0\leq t' \leq t$, and {\it preparation parameters} related to times $T \leq t'\leq t_0$. Relation with Zubarev's non-equilibrium statistical operator is discussed. A mechanism for memory loss is investigated and time evolution by a semigroup is obtained for a restricted set of relevant observables, slowly varying on a suitable time scale.

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