The functional Ito formula in quantum stochastic calculus

DOI10.1063/1.528945zbMath0718.47034OpenAlexW2020506988MaRDI QIDQ5749859

G. O. S. Ekhaguere

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528945

zbMATH Keywords

Hudson-Parthasarathy formulation of Boson quantum stochastic calculusnoncommutative analogs of the Itô formula of classical stochastic calculusOp-*-algebraic approach

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator theory in the physical sciences (47N50) Applications of functional analysis in quantum physics (46N50)

Related Items (2)

Viable solutions of lower semicontinuous quantum stochastic differential inclusions ⋮ The unified Ito formula has the pseudo-Poisson structure df(x)=[f(x+b)−f(x)μνdaνμ]

Cites Work

• Quantum Ito's formula and stochastic evolutions
• The Ito-Clifford integral
• Stochastic differential equations in Hilbert space
• Stochastic integrals in abstract Wiener space
• Topological algebras of operators
• Stochastic Schrodinger and Heisenberg equations: a martingale problem in quantum stochastic processes
• Diffusion processes with continuous coefficients, I
• On Square Integrable Martingales
• An operator-valued stochastic integral
• On a Formula Concerning Stochastic Differentials
• Stochastic integral

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