Calculation of the limiting Gibbs states for weakly coupled macroscopic quantum systems with application to the Josephson oscillator

DOI10.1016/0034-4877(86)90068-6zbMath0619.60099OpenAlexW2054405103MaRDI QIDQ1089688

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90068-6

zbMATH Keywords

thermodynamic limitsuperconductorsBoson field operatorsdecomposition of the limiting Gibbs statesweakly coupled long range interacting quantum lattice systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Applications of quantum theory to specific physical systems (81V99)

Related Items (2)

Internal symmetries and limiting Gibbs states in quantum lattice mean- field theories ⋮ Limiting dynamics of generalized Bardeen–Cooper–Schrieffer models beyond the pair algebra

Cites Work

• Existence of the limiting mean field dynamics in general equilibrium representations
• On the mathematical structure of the B.C.S.-model
• On the microscopic derivation of the finite-temperature Josephson relation in operator form
• Equilibrium states for mean field models
• Theory of operator algebras I.
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