标题： 一个多体RAGE定理 显示英文标题

标题： A many-body RAGE theorem

摘要： 我们证明了N体量子系统中RAGE定理的一个广义版本。 该结果表明，只有具有$0\leq n\leq N$个粒子的系统的束缚态在长时间平均中持续存在。 该极限通过一种适用于多体系统的适当弱拓扑来表述，该拓扑由第二作者在之前的工作中引入，其基础是约化密度矩阵。 这种拓扑与规范对易或反对易关系代数的状态的弱*拓扑相关，我们在这种情况下给出了主要结果的表述。 显示英文摘要

摘要： We prove a generalized version of the RAGE theorem for N-body quantum systems. The result states that only bound states of systems with $0\leq n\leq N$ particles persist in the long time average. The limit is formulated by means of an appropriate weak topology for many-body systems, which was introduced by the second author in a previous work, and is based on reduced density matrices. This topology is connected to the weak-* topology of states on the algebras of canonical commutation or anti-commutation relations, and we give a formulation of our main result in this setting.