On the microscopic derivation of the finite-temperature Josephson relation in operator form

DOI10.1063/1.527152zbMath0608.46051OpenAlexW2085754497MaRDI QIDQ3748781

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527152

zbMATH Keywords

gauge transformationsquasiparticle spectrumJosephson junctionGNS representationlimiting dynamicsweak perturbationsBCS modelscondensed Cooper pairConnes theorymodular formalismquasiparticle current operatorrenormalized particle number operatoruncoupled limiting Gibbs statevon Neumann algebra of the temperature representationweak coupling potential

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Renormalization group methods applied to problems in quantum field theory (81T17) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (3)

Internal symmetries and limiting Gibbs states in quantum lattice mean- field theories ⋮ Calculation of the limiting Gibbs states for weakly coupled macroscopic quantum systems with application to the Josephson oscillator ⋮ The dynamics of a class of quantum mean-field theories

Cites Work

• Existence of the limiting mean field dynamics in general equilibrium representations
• Nets of \(C^*\)-algebras and classification of states

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