A Many-Body RAGE Theorem

Lampart, Jonas; Lewin, Mathieu

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

Publisher

Springer

Pages

1171-1186

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