Quantization of stationary Gaussian random processes and their generalizations

DOI10.1007/s11232-012-0145-zzbMath1282.81120OpenAlexW2033766969MaRDI QIDQ393994

A. I. Oksak

Publication date: 24 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-012-0145-z

zbMATH Keywords

open systemfractal Brownian motionGaussian flowHamiltonian modelingquasifree state of the algebra of canonical commutation relations

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Quantum stochastic calculus (81S25) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

• The \(C^ *\)-algebras of a free Boson field
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• On the product form of quasi-free states
• Expectations in an operator algebra
• Representation of quantum Brownian motion in the collective coordinate method
• Statistical Mechanics of Assemblies of Coupled Oscillators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item