Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations

Details Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations

2010-06-03

arxiv.org/abs/1006.0640v1

Izv.Math.69:1081-1098,2005

Physics

Mathematical Physics

20 pages

Scientific paper

10.1070/IM2005v069n06ABEH002290

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.

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