Quasi-particles at finite temperatures
type: Item
instance of: scholarly article
title: Quasi-particles at finite temperatures
zbMATH Open document ID: 0534.46050
DOI: 10.1007/BF01210849
author: Walter Thirring
author: Heide Narnhofer
author: Manfred Requardt
published in: Communications in Mathematical Physics
publication date: 1983-01-01T00:00:00Z
review text: In analogy to scattering theory of quantum fields we construct quasiparticles with the help of spectral properties of the Hamiltonian and time limits. We assume that in the joint spectral representation of time and space translation operators there is a \(\delta\)-type singularity for some dispersion relation. Assuming furthermore cluster properties or sufficiently strong asymptotic abelianness we construct creation and annihilation operators as the operators, that map the GNS vector \(\Omega\) onto the subspace corresponding to the \(\delta\)-type singularity. These operators are unique, in contrast to quantum field theory. They correspond to fermions or bosons, depending on the kind of cluster properties resp. commutation relations.
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 46N55
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 81V70
zbMATH DE Number: 3848043
zbMATH Keywords: KMS-condition
zbMATH Keywords: scattering theory of quantum fields
zbMATH Keywords: quasiparticles
zbMATH Keywords: spectral properties of the Hamiltonian
zbMATH Keywords: time limits
zbMATH Keywords: joint spectral representation of time and space translation operators
zbMATH Keywords: dispersion relation
zbMATH Keywords: creation and annihilation operators
zbMATH Keywords: fermions
zbMATH Keywords: bosons
zbMATH Keywords: cluster properties
MaRDI profile type: Publication
Wikidata QID: Q62567965
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description: scientific article; zbMATH DE number 3848043