On quantum stochastic dynamics and noncommutative \(L_ p\) spaces

DOI10.1007/BF00714401zbMath0846.46044MaRDI QIDQ1912757

Adam W. Majewski, Bogusław Zegarliński

Publication date: 23 September 1996

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

zbMATH Keywords

thermodynamic limitergodicity properties of stochastic dynamics of spin flip and diffusion typenoncommutative \(L_ p\) spacesquantum stochastic dynamicsquantum systems on a latticequasilocal algebras

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (9)

Quantum Fokker-Planck dynamics ⋮ Dirichlet Forms on Noncommutative Spaces ⋮ Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras ⋮ The Hölder inequality for KMS states ⋮ Derivations as square roots of Dirichlet forms ⋮ The emergence of noncommutative potential theory ⋮ Quantum logarithmic Sobolev inequalities and rapid mixing ⋮ On quantum statistical mechanics: a study guide ⋮ Hypercontractivity and logarithmic Sobolev inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates

Cites Work

• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
• Notes on non-commutative integration
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• A non-commutative extension of abstract integration
• Unnamed Item

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