HOW TO GENERATE MARKOVIAN COCYCLES ON BOSON FOCK SPACE

DOI10.1142/S0219025701000474zbMath1057.47509OpenAlexW2048102270MaRDI QIDQ4460446

Volkmar Liebscher

Publication date: 18 May 2004

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/s0219025701000474

zbMATH Keywords

stochastic calculusdialations of Markovian semigroupsdilations on Boson Fock spaceunitary Markovian cocycles

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50)

Related Items

Dilations of contraction cocycles and cocycle perturbations of the translation group of the line, Evolution equations for Markov cocycles obtained by second quantization in the symplectic Fock space

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Structure of Markov cocycles on Fock space
• Markov dilations on \(W^ *\)-algebras