Master equations: A survey of rigorous results

DOI10.1007/BF02925749zbMath0407.60099MaRDI QIDQ4194269

E. Brian Davies

Publication date: 1977

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

Statistical MechanicsEvolution EquationsIrreversible Markovian Processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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• A quantum neutron diffusion equation and its classical limit
• Markovian master equations
• Markovian master equations. II
• An abstract averaging theorem
• Positive linear maps on operator algebras
• On the generators of quantum dynamical semigroups
• Resonances, spectral concentration and exponential decay
• Generalized K-flows
• Asymptotic analysis of some abstract evolution equations
• The classical limit for quantum dynamical semigroups
• Irreversible dynamics of infinite Fermion systems
• Brownian motion of a quantum harmonic oscillator
• The Livsic matrix in perturbation theory
• Quantum dynamical semigroups and the neutron diffusion equation
• Quantum detailed balance and KMS condition
• Completely positive maps on the CCR-algebra
• Dilations of dynamical semigroups
• The projection of the Navier-Stokes equations upon the Euler equations
• The classical limit of quantum spin systems
• Difficulty with a kinematic concept of unstable particles: the Sz.-Nagy extension and the Matthews-Salam-Zwanziger representation
• The decay-scattering system
• A limit theorem for perturbed operator semigroups with applications to random evolutions
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• On a matrix limit theorem^†
• Asymptotic analysis of transport processes
• CONDITIONALLY COMPLETELY POSITIVE MAPS ON OPERATOR ALGEBRAS
• Dilations of Completely Positive Maps
• Asymptotic theory of mixing stochastic ordinary differential equations
• Completely positive dynamical semigroups of N-level systems
• Statistical Mechanics of Assemblies of Coupled Oscillators
• Some contraction semigroups in quantum probability
• Spectral Concentration and Virtual Poles. II
• A limit theorem with strong mixing in banach space and two applications to stochastic differential equations
• Derivation of the transport equation for electrons moving through random impurities

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