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arXiv · 1006.0640

Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations

J. Gough·O. O. Obrezkov·O. G. Smolyanov
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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.

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J. Gough, O. O. Obrezkov, O. G. Smolyanov. 2010-06-03. Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations. https://doi.org/10.1070/im2005v069n06abeh002290

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