Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi-gas
type: Item
instance of: scholarly article
title: Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi-gas
zbMATH Open document ID: 0547.46053
DOI: 10.1007/BF01208778
author: D. D. Botvich
author: V. A. Malyshev
published in: Communications in Mathematical Physics
publication date: 1983-01-01T00:00:00Z
review text: Two kinds of equilibrium states are taken into account in mathematical physics: ground (zero temperature) states and KMS (nonzero temperature) states. In this work, using a local perturbation for an ideal Fermi-gas on the lattice \({\mathbb{Z}}^{\nu}\) it is shown that the Möller morphisms exist and are invertible for a perturbation small enough. It follows that in the cyclic GNS representation with respect to KMS states the dynamics of ideal and perturbed Fermi-gas are unitary equivalent.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 46L60
zbMATH DE Number: 3872088
zbMATH Keywords: Fermi-gas locally perturbed
zbMATH Keywords: spectral decomposition of Hamiltonians
zbMATH Keywords: ground states
zbMATH Keywords: equilibrium states
zbMATH Keywords: ideal Fermi-gas
zbMATH Keywords: Möller morphisms
zbMATH Keywords: cyclic GNS representation
zbMATH Keywords: KMS states
reviewed by: Oliviu Gherman
MaRDI profile type: Publication
cites work: Return to equilibrium
cites work: Scattering in the CAR algebra
cites work: Q3913911
cites work: States of the Clifford algebra
description: scientific article; zbMATH DE number 3872088