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Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations (1006.0640v1)
Published 3 Jun 2010 in math-ph and math.MP
Abstract: In this paper, we consider stochastic Schroedinger equations with two-dimensional white noise. Such equations are used to describe the evolution of an open quantum system undergoing a process of continuous measurement. Representations are obtained for solutions of such equations using a generalization to the stochastic case of the classical construction of Feynman path integrals over trajectories in the phase space.