Entropy, the central limit theorem and the algebra of the canonical commutation relation

DOI10.1007/BF00402896zbMath0753.60103MaRDI QIDQ1196676

Dénes Petz

Publication date: 16 January 1993

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

zbMATH Keywords

central limit theoremalgebra of the canonical commutation relationgauge invariant state

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Other physical applications of random processes (60K40) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (1)

Markov property of Gaussian states of canonical commutation relation algebras

Cites Work

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• Non-commutative central limits
• A noncommutative central limit theorem for CCR-algebras
• Entropy and the central limit theorem
• Relative entropy for states of von Neumann algebras. II
• The smallest C\(^*\)-algebra for canonical commutation relations
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Entropy and the central limit theorem in quantum mechanics
• Classical systems of infinitely many noninteracting particles
• An algebraic central limit theorem in the anti-commuting case
• A quantum-mechanical central limit theorem

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