On the families of Gibbs semigroups

DOI10.1007/BF02193557zbMath0445.47032MaRDI QIDQ1145337

Valentin A. Zagrebnov

Publication date: 1980

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

zbMATH Keywords

Gibbs semigroupsmonotonous familiessingular perturbations of Hamiltoniantrace-norm topology

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Groups and semigroups of linear operators (47D03) Abstract operator algebras on Hilbert spaces (47L30) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (6)

The Trotter-Kato product formula for Gibbs semigroups ⋮ Perturbations of Gibbs semigroups ⋮ The Trotter–Lie product formula for Gibbs semigroups ⋮ Non-existence of Bose–Einstein condensation in Bose–Hubbard model in dimensions 1 and 2 ⋮ On regularized trace formula of Gribov semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann representation ⋮ Convergence of operator semigroups associated with generalised elliptic forms

Cites Work

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• Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations
• On the perturbation of Gibbs semigroups
• Analyticity of the partition function for finite quantum systems
• On analyticity properties of the configurational integral in statistical mechanics
• Perturbation of Statistical Semigroups in Quantum Statistical Mechanics

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