Abstract

We employ the Boson Fock space stochastic calculus of Hudson and Parthasarathy to establish the existence, uniqueness and stability of strong solutions of Lipschitzian quantum stochastic differential equations in a locally convex space by a method of successive approximations. It is further shown that our results generalize analogous results concerning classical stochastic differential equation to the present noncommutative quantum setting involving unbounded linear operators on a Hilbert space.

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