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This article is cited in 10 scientific papers (total in 10 papers)
Randomized Hamiltonian Feynman integrals and Shrödinger–Itô stochastic equations
J. E. Gougha, O. O. Obrezkovb, O. G. Smolyanovc a Nottingham Trent University
b M. V. Lomonosov Moscow State University
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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.
Received: 11.01.2005
Citation:
J. E. Gough, O. O. Obrezkov, O. G. Smolyanov, “Randomized Hamiltonian Feynman integrals and Shrödinger–Itô stochastic equations”, Izv. RAN. Ser. Mat., 69:6 (2005), 3–20; Izv. Math., 69:6 (2005), 1081–1098
Linking options:
https://www.mathnet.ru/eng/im663https://doi.org/10.1070/IM2005v069n06ABEH002290 https://www.mathnet.ru/eng/im/v69/i6/p3
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Abstract page: | 602 | Russian version PDF: | 293 | English version PDF: | 23 | References: | 63 | First page: | 3 |
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