Local Normality for KMS states with Galilei invariant Interaction
Mathematical Physics
2020-11-03 v1 math.MP
Abstract
For Fermi systems interacting with a Galilei invariant pair potential with a cut-off for particles with highly different velocities the time evolution corresponds to an automorphism. We prove that all states satisfying the KMS-condition are locally normal with respect to the representation in Fock-space. Removing the cut-off limit states remain locally normal provided the interaction is repulsive or of positive type. The modular automorphism of the von Neumann-algebra of the limit state coincides with the time evolution.
Cite
@article{arxiv.2011.01059,
title = {Local Normality for KMS states with Galilei invariant Interaction},
author = {Heide Narnhofer},
journal= {arXiv preprint arXiv:2011.01059},
year = {2020}
}