Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi-gas

DOI10.1007/BF01208778zbMath0547.46053MaRDI QIDQ798938

D. D. Botvich, Vadim A. Malyshev

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

equilibrium statesground statesKMS statescyclic GNS representationFermi-gas locally perturbedideal Fermi-gasMöller morphismsspectral decomposition of Hamiltonians

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (18)

Operator algebras in statistical mechanics and noncommutative probability theory ⋮ Temperature dynamics of the locally perturbed classical ideal gas ⋮ Ergodic properties of groups of the Bogoliubov transformations of CAR C *-algebras ⋮ One-dimensional XY model: ergodic properties and hydrodynamic limit ⋮ Stably commuting dynamics and stationary states ⋮ Convergence in the linked cluster theorem for many body fermion systems ⋮ Status of the fundamental laws of thermodynamics ⋮ On the steady state correlation functions of open interacting systems ⋮ A Galton-Watson estimate for Dyson series ⋮ Approach to equilibrium in translation-invariant quantum systems: some structural results ⋮ Central limit theorem for locally interacting Fermi gas ⋮ Local perturbations of free dynamics of quantum systems ⋮ Properties of translationally invariant quantum-dynamical semigroups ⋮ A new method in the scattering theory ⋮ Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids ⋮ Energy conservation, counting statistics, and return to equilibrium ⋮ A geometric approach to the Landauer-Büttiker formula ⋮ A note on the Landauer principle in quantum statistical mechanics

Cites Work

• Unnamed Item
• Scattering in the CAR algebra
• States of the Clifford algebra
• Return to equilibrium

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