Randomized Hamiltonian Feynman integrals and Shr\"odinger--It\^o stochastic equations

J. E. Gough ; O. O. Obrezkov ; O. G. Smolyanov

Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1081-1098.

Résumé

In this paper, we consider stochastic Schrödinger 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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