Perturbation of Statistical Semigroups in Quantum Statistical Mechanics

DOI10.1063/1.1665564zbMath0241.47031OpenAlexW2013771579MaRDI QIDQ5651800

D. A. Uhlenbrock

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665564

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)

Related Items (9)

Regularity properties for evolution families governed by non-autonomous forms ⋮ Perturbations of Gibbs semigroups ⋮ Path space ideas and minimal unitary dilations ⋮ On the families of Gibbs semigroups ⋮ Gaussian decay for a difference of traces of the Schrödinger semigroup associated with the isotropic harmonic oscillator ⋮ Convergence of operator semigroups associated with generalised elliptic forms ⋮ On the perturbation of Gibbs semigroups ⋮ Markov structures on Clifford algebras ⋮ Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator

Cites Work

• Tensor algebras over Hilbert spaces. II
• State of physical systems
• Green functions of the anisotropic Heisenberg model
• States of the Clifford algebra
• The physical states of Fermi systems
• A New Approach to Quantum-Statistical Mechanics

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