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A Many-Body RAGE Theorem

Lampart, Jonas; Lewin, Mathieu (2015), A Many-Body RAGE Theorem, Communications in Mathematical Physics, 340, 3, p. 1171-1186. 10.1007/s00220-015-2458-x

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/1503.00496v2
Date
2015
Journal name
Communications in Mathematical Physics
Volume
340
Number
3
Publisher
Springer
Pages
1171-1186
Publication identifier
10.1007/s00220-015-2458-x
Metadata
Show full item record
Author(s)
Lampart, Jonas cc

Lewin, Mathieu cc
Abstract (EN)
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⩽n⩽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.
Subjects / Keywords
RAGE theorem

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