Properties of translationally invariant quantum-dynamical semigroups

DOI10.1007/BF01017821zbMath0766.47016MaRDI QIDQ1185187

A. D. Manita

Publication date: 28 June 1992

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum kinetic equations for the Schrödinger particlerelaxation to the statetranslation invariant quantum dynamical semigroups on a \(C^*\)-algebrauniqueness of a stationary state

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50)

Related Items

On conservativity of covariant dynamical semigroups ⋮ Translation-covariant Markovian master equation for a test particle in a quantum fluid

Cites Work

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• Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi-gas
• Convergence in the linked cluster theorem for many body fermion systems
• The generators of positive semigroups
• Markovian master equations
• On the generators of quantum dynamical semigroups
• An algebraic condition for the approach to equilibrium of an open N-level system
• Quantum dynamical semigroups and approach to equilibrium
• Properties of quantum Markovian master equations
• Stationary states of quantum dynamical semigroups
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups