Randomized Hamiltonian Feynman integrals and Schrödinger-Ito stochastic equations

John E. Gough, Oleg Obreskov, Oleg Smolyanov

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In this paper, we consider stochastic Schrödinger equations with twodimensional 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.
Original languageEnglish
Pages (from-to)1081-1098
Number of pages18
JournalIzvestiya: Mathematics
Issue number6
Publication statusPublished - 2005


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