Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations

DOI10.1007/BF01257415zbMath0678.60104OpenAlexW2028370911MaRDI QIDQ1124227

P. Vets, D. Goderis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01257415

zbMATH Keywords

macroscopic fluctuationscentral limit theorem for mixing quantum systemsinfinite quantum system

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

• Non-commutative central limits
• The smallest C\(^*\)-algebra for canonical commutation relations
• Asymptotic orbits in a free Fermi gas
• Quantum central limit theorems for strongly mixing random variables
• Equilibrium states for mean field models
• An algebraic version of the central limit theorem
• Theory of fluctuations and small oscillations for quantum lattice systems
• A quantum-mechanical central limit theorem
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