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• W2021597056 abstract "We develop a quantum stochastic calculus on full Fock modules over arbitrary Hilbert B–B-modules. We find a calculus of bounded operators where all quantum stochastic integrals are limits of Riemann–Stieltjes sums. After having estalished existence and uniqueness of solutions of a large class of quantum stochastic differential equations, we find necessary and sufficient conditions for unitarity of a subclass of solutions. As an application we find dilations of a conservative CP-semigroup (quantum dynamical semigroup) on B with arbitrary bounded (Christensen–Evans) generator. We point out that in the case B=B(G) the calculus may be interpreted as a calculus on the full Fock space tensor initial space G with arbitrary degree of freedom dilating CP-semigroups with arbitrary Lindblad generator. Finally, we show how a calculus on the boolean Fock module reduces to our calculus. As a special case this includes a calculus on the boolean Fock space." @default.
• W2021597056 created "2016-06-24" @default.
• W2021597056 creator A5000933051 @default.
• W2021597056 date "2000-06-01" @default.
• W2021597056 modified "2023-10-02" @default.
• W2021597056 title "Quantum Stochastic Calculus on Full Fock Modules" @default.
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• W2021597056 doi "https://doi.org/10.1006/jfan.2000.3579" @default.
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