Geodesic
Randomized Hamiltonian Feynman integrals and Shr\"odinger--It\^o stochastic equations
Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1081-1098

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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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     author = {J. E. Gough and O. O. Obrezkov and O. G. Smolyanov},
     title = {Randomized {Hamiltonian} {Feynman} integrals and {Shr\"odinger--It\^o} stochastic equations},
     journal = {Izvestiya. Mathematics },
     pages = {1081--1098},
     publisher = {mathdoc},
     volume = {69},
     number = {6},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2005_69_6_a0/}
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J. E. Gough; O. O. Obrezkov; O. G. Smolyanov. Randomized Hamiltonian Feynman integrals and Shr\"odinger--It\^o stochastic equations. Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1081-1098. http://geodesic.mathdoc.fr/item/IM2_2005_69_6_a0/