Gentle perturbations of the free Bose gas. The critical regime

DOI10.1063/1.531462zbMath0880.46054OpenAlexW2085570698MaRDI QIDQ5284312

Roman Gielerak, Robert Olkiewicz

Publication date: 8 February 1998

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

Full work available at URL: https://doi.org/10.1063/1.531462

zbMATH Keywords

Bose-Einstein gasBose-Einstein condensateinteracting Bose gasthermodynamic limitssmall coupling constantAbelian sectorGaussian-Markovian non-ergodic processperturbations of the free Bose gasperturbed modular structurestochastic technique

Mathematics Subject Classification ID

Gaussian processes (60G15) Many-body theory; quantum Hall effect (81V70) Statistical thermodynamics (82B30) Applications of functional analysis in statistical physics (46N55)

Related Items (1)

Stochastically positive structures on Weyl algebras. The case of quasi-free states

Cites Work

• Some results for the exponential interaction in two or more dimensions
• Periodic Gaussian Osterwalder-Schrader positive processes and the two- sided Markov property on the circle
• Stochastic processes associated with KMS states
• Gentle perturbations of the free Bose gas. I.
• On the asymptotic exactness of the Bogoliubov approximation for many boson systems
• Reconstruction of Kubo–Martin–Schwinger structure from Euclidean Green functions
• W*-KMS structure from multi-time Euclidean Green functions
• Multiple time analyticity of a quantum statistical state satisfying the {${\rm KMS}$} boundary condition

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