Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi-gas
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.
scientific article; zbMATH DE number 3872088