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