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Are interacting systems norm asymptotic abelian?

Autor(en)
Heide Narnhofer
Abstrakt

We consider infinite Fermi systems for which time evolution is defined as automorphism group. Under appropriate assumptions quasifree evolutions are norm asymptotic abelian on the even subalgebra. If interaction is added in the ground state strong asymptotic abelianess is preserved. In the tracial state, however, it is argued that for appropriate interacting systems even strong asymptotic abelianess fails in first order perturbation theory and only weak asymptotic abelianess seems to be possible. Consequences of different kinds of abelianess are discussed.

Organisation(en)
Mathematische Physik
Journal
Quantum Studies: Mathematics and Foundations
Band
2
Seiten
417-433
Anzahl der Seiten
17
ISSN
2196-5609
DOI
https://doi.org/10.1007/s40509-015-0052-8
Publikationsdatum
2015
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Atomic and Molecular Physics, and Optics, Mathematical Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/6a4cc7e3-e857-448c-ad05-efc67fab6152