Quantum stochastic integral representations on interacting Fock space

DOI10.1007/s10959-013-0537-5zbMath1328.81143OpenAlexW2028696145MaRDI QIDQ895910

Yuan Bao Kang, Cai-shi Wang

Publication date: 7 December 2015

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-013-0537-5

zbMATH Keywords

quantum stochastic processquantum stochastic integralinteracting Fock spaces (IFS)quantum stochastic integral representation

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Stochastic integrals (60H05) Bergman spaces and Fock spaces (30H20)

Related Items (2)

Quantum stopping times stochastic integral in the interacting Fock space ⋮ Martingale representation theorem for G-Brownian motion

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Belated integrals
• Integration by parts, homogeneous chaos expansions and smooth densities
• A representation free quantum stochastic calculus
• The Wigner semi-circle law in quantum electro dynamics
• Interacting Fock Spaces Related to the Anderson Model
• Interacting Fock Spaces and Gaussianization of Probability Measures
• On the interacting Free Fock space and the deformed Wigner law
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES
• QUANTUM STOCHASTIC CALCULUS ON BOOLEAN FOCK SPACE
• CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES
• A quantum nonadapted Ito formula and stochastic analysis in Fock scale
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quantum stochastic integral representations on interacting Fock space