On quantum dynamical semigroups

DOI10.5802/AMBP.58zbMath0882.47018OpenAlexW2325274630MaRDI QIDQ5917832

Rolando Rebolledo Berroeta

Publication date: 5 March 1998

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1996__3_1_125_0

zbMATH Keywords

Fokker-Planck equationdiffusion processergodic theoremmartingale problemquantum opticsquantum dynamical semigroupsstochastic mechanicscompletely positive weakly continuousentropic diffusionnoncommutative stochastic differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) One-parameter semigroups and linear evolution equations (47D06) Noncommutative dynamical systems (46L55) Martingales with continuous parameter (60G44) Diffusion processes (60J60) Quantum optics (81V80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tightness results for laws of diffusion processes application to stochastic mechanics
• Weak convergence of semimartingales and discretisation methods
• Long-time asymptotic properties of dynamical semigroups on W*-algebras
• Quantum probability for probabilists
• On the generators of quantum dynamical semigroups
• Quantum dynamical semigroups and the neutron diffusion equation
• Stationary states of quantum dynamical semigroups
• Quantum flows associated to master equations in quantum optics
• Completely positive dynamical semigroups of N-level systems

This page was built for publication: On quantum dynamical semigroups