Noncommutative central limit theorem for Gibbs temperature states

DOI10.1007/BF01056296zbMath0941.46039OpenAlexW2076250046MaRDI QIDQ4940556

O. Vict. Antonyuk, Alexander Val. Antoniouk, Yuri G. Kondratiev

Publication date: 2 March 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056296

zbMATH Keywords

quantum lattice systemsalgebra of local observablesDirichlet operatornoncommutative central limit theoremgeneralized Ising model with compact continuous configuration spaceGibbs temperature statestemperature unharmonic crystal

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Abstract operator algebras on Hilbert spaces (47L30) Noncommutative probability and statistics (46L53) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Linear operators in (C^*)- or von Neumann algebras (47C15)

This page was built for publication: Noncommutative central limit theorem for Gibbs temperature states