Algebraic structure of \(k\)-mode fluctuations

DOI10.1016/S0034-4877(97)85621-2zbMath0898.47051MaRDI QIDQ1381954

B. Momont, André F. Verbeure

Publication date: 2 November 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

central limitproduct stateGaussian behaviour of the scaled fluctuation operators

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Applications of operator theory in probability theory and statistics (47N30)

Related Items (2)

Quantum fluctuations in mesoscopic systems ⋮ CCR-algebra structure of normal \(k\)-mode fluctuations

Cites Work

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• Non-commutative central limits
• Dynamics of fluctuations for quantum lattice systems
• Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations
• On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics
• The smallest C\(^*\)-algebra for canonical commutation relations
• Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model

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