A SCATTERING THEORY FOR MARKOV CHAINS

DOI10.1142/S0219025700000091zbMath1243.81104OpenAlexW2580326831MaRDI QIDQ4430263

Hans Maassen, Burkhard Kümmerer

Publication date: 6 October 2003

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025700000091

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum stochastic calculus (81S25) Quantum scattering theory (81U99)

Related Items

Dynamics of an open system for repeated harmonic perturbation, Non-commutative Markov chains and multi-analytic operators, Diagonal couplings of quantum Markov chains, KÜMMERER–MAASSEN-SCATTERING THEORY AND ENTANGLEMENT, Linear response theory and entropic fluctuations in repeated interaction quantum systems, Generalized Repeated Interaction Model and Transfer Functions, Weak Markov processes as linear systems, Universal preparability of states and asymptotic completeness, Perturbation analysis of quantum reset models, CONSTRUCTING EXTENSIONS OF CP-MAPS VIA TENSOR DILATIONS WITH THE HELP OF VON NEUMANN MODULES, On fermionic walkers interacting with a correlated structured environment, Quantum measurements of scattered particles, Decomposition of time-covariant operations on quantum systems with continuous and∕or discrete energy spectrum, Repeated interactions in open quantum systems

Cites Work

• An example of a generalized Brownian motion
• Markov dilations on \(W^ *\)-algebras
• The essentially commutative dilations of dynamical semigroups on \(M_ n\)
• Addition of certain non-commuting random variables
• Finitary isomorphisms of irreducible Markov shifts
• Quantum stochastic calculus and the dynamical Stark effect
• On isomorphism of weak Bernoulli transformations
• Quantum stochastic processes
• Return to equilibrium