Quantum cable equations in terms of generalized operators

DOI10.1023/A:1010776120045zbMath0978.60075OpenAlexW4240669806MaRDI QIDQ5937963

Xiang Jun Wang, Zhi Yuan Huang, Cai-shi Wang

Publication date: 6 September 2001

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010776120045

zbMATH Keywords

white noisegeneralized operatorquantum cable equation

Mathematics Subject Classification ID

White noise theory (60H40) Quantum stochastic calculus (81S25) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (9)

$\delta $-function of an operator: A white noise approach ⋮ Quantum stochastic cable equation acting on functionals of discrete-time normal martingales ⋮ 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 ⋮ Cable equation with a general stochastic measure ⋮ A filtration of Wick algebra and its application to quantum SDEs ⋮ Analytic characterization for Hilbert-Schmidt operators on Fock space

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