dorsal/arxiv
View SchemaDescription of isolated macroscopic systems inside quantum mechanics
| Authors | L. Lanz, O. Melsheimer, B. Vacchini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910042 |
| URL | https://arxiv.org/abs/quant-ph/9910042 |
| DOI | 10.1016/S0034-4877(01)80023-9 |
| Journal | Rep. Math. Phys. 46 (2000) 191-202 |
Abstract
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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"abstract": "For an isolated macrosystem classical state parameters $\\zeta(t)$ are\nintroduced inside a quantum mechanical treatment. By a suitable mathematical\nrepresentation of the actual preparation procedure in the time interval\n$[T,t_0]$ a statistical operator is constructed as a solution of the Liouville\nvon Neumann equation, exhibiting at time $t$ the state parameters $\\zeta(t\u0027)$,\n$t_0\\leq t\u0027 \\leq t$, and {\\it preparation parameters} related to times $T \\leq\nt\u0027\\leq t_0$. Relation with Zubarev\u0027s non-equilibrium statistical operator is\ndiscussed. A mechanism for memory loss is investigated and time evolution by a\nsemigroup is obtained for a restricted set of relevant observables, slowly\nvarying on a suitable time scale.",
"arxiv_id": "quant-ph/9910042",
"authors": [
"L. Lanz",
"O. Melsheimer",
"B. Vacchini"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0034-4877(01)80023-9",
"journal_ref": "Rep. Math. Phys. 46 (2000) 191-202",
"title": "Description of isolated macroscopic systems inside quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9910042"
},
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