CCR-algebra structure of normal \(k\)-mode fluctuations

DOI10.1016/S0034-4877(98)80022-0zbMath0924.46064OpenAlexW2032869631MaRDI QIDQ1290247

B. Momont, Tom Michoel, André F. Verbeure

Publication date: 16 August 1999

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(98)80022-0

zbMATH Keywords

quantum lattice system\(k\)-mode fluctuations of observablescluster conditionsquasi-local \(C^*\)-algebra

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Applications of functional analysis in statistical physics (46N55)

Related Items (3)

Fluctuation operators and spontaneous symmetry breaking ⋮ Inferring effective field observables from a discrete model ⋮ Quantum fluctuations in mesoscopic systems

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
• Algebraic structure of \(k\)-mode fluctuations
• Dynamics of quantum fluctuations in an anharmonic crystal model

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