1990Journal of Mathematical PhysicsRequires access

The functional Ito formula in quantum stochastic calculus

G. O. S. Ekhaguere

Open publisher page 4 citations

Abstract

Using an Op-*-algebraic approach, noncommutative analogs of the Ito formula of classical stochastic calculus within the framework of the Hudson–Parthasarathy formulation of Boson quantum stochastic calculus are proven.

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Using an Op-*-algebraic approach, noncommutative analogs of the Ito formula of classical stochastic calculus within the framework of the Hudson–Parthasarathy formulation of Boson quantum stochastic calculus are proven.

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Available abstract

Using an Op-*-algebraic approach, noncommutative analogs of the Ito formula of classical stochastic calculus within the framework of the Hudson–Parthasarathy formulation of Boson quantum stochastic calculus are proven.

Key concepts: Quantum stochastic calculus, Stochastic calculus, Noncommutative geometry, Quantum differential calculus, Calculus (dental), Time-scale calculus, Mathematics, Functional calculus

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