A filtration of Wick algebra and its application to quantum SDEs

DOI10.1007/s10114-004-0399-yzbMath1081.60537OpenAlexW2050082669MaRDI QIDQ2577664

Zhi Yuan Huang, Cai-shi Wang

Publication date: 5 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0399-y

zbMATH Keywords

white noise

Mathematics Subject Classification ID

White noise theory (60H40) Quantum stochastic calculus (81S25)

Related Items (6)

A white noise approach to infinitely divisible distributions on Gel'fand triple ⋮ A moment characterization of \(B\)-valued generalized functionals of white noise ⋮ A \(W\)-transform-based criterion for the existence of bounded extensions of \(E\)-operators. ⋮ QUANTUM TANAKA FORMULA IN TERMS OF QUANTUM BROWNIAN MOTION ⋮ A NEW IDEA TO DEFINE THE δ-FUNCTION OF AN OBSERVABLE IN THE CONTEXT OF WHITE NOISE ANALYSIS ⋮ Analytic characterization for Hilbert-Schmidt operators on Fock space

Cites Work

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• QUANTUM INTEGRAL EQUATIONS OF VOLTERRA TYPE WITH GENERALIZED OPERATOR-VALUED KERNELS
• NOISE AND DISSIPATION IN QUANTUM THEORY
• Quantum cable equations in terms of generalized operators

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