``Almost mean-field Ising model: An algebraic approach

DOI10.1007/BF01053740zbMath0945.82503MaRDI QIDQ1279294

Camillo Trapani, Fabio Bagarello

Publication date: 31 May 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

spin systemsalgebraic approachthermodynamical limit

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (9)

The Heisenberg dynamics of spin systems: A quasi*-algebras approach ⋮ ALGEBRAS OF UNBOUNDED OPERATORS AND PHYSICAL APPLICATIONS: A SURVEY ⋮ Extension of representations in quasi *-algebras ⋮ Homomorphisms and derivations in proper \(JCQ^{*}\)-triples ⋮ Applications of topological*-algebras of unbounded operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ O ⋆ -algebras and quantum dynamics: Some existence results ⋮ Fixed points in topological *-algebras of unbounded operators.

Cites Work

• \(Qu^*\)-algebras and twisted product
• Partial *-algebras of closed linear operators in Hilbert space
• Dynamics of mean-field spin models from basic results in abstract differential equations
• Unbounded operator algebras and representation theory.
• Statistical mechanics of quantum spin systems. II
• On the mathematical structure of the B.C.S.-model
• An Algebraic Approach to Quantum Field Theory
• Time Translations in the Algebraic Formulation of Statistical Mechanics

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