Perturbations of Gibbs semigroups

DOI10.1007/BF01260391zbMath0668.47032MaRDI QIDQ1118144

Valentin A. Zagrebnov

Publication date: 1989

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

zbMATH Keywords

analytic perturbation theory for quantum Gibbs semigroupsAnalyticity of the perturbed semigroup in the trace-norm topoloyrelatively bounded perturbations of the semigroup generators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES ⋮ The Trotter-Kato product formula for Gibbs semigroups ⋮ On regularized trace formula of Gribov semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann representation ⋮ The Bogoliubov model of weakly imperfect Bose gas ⋮ Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential

Cites Work

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• On the families of Gibbs semigroups
• On the perturbation of Gibbs semigroups
• Green functions of the anisotropic Heisenberg model
• Analyticity of the partition function for finite quantum systems
• Two theorems about \(C_p\)
• The Trotter–Lie product formula for Gibbs semigroups
• Perturbation of Statistical Semigroups in Quantum Statistical Mechanics

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