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Izvestiya: Mathematics, 2005, Volume 69, Issue 6, Pages 1081–1098
DOI: https://doi.org/10.1070/IM2005v069n06ABEH002290 (Mi im663) 		 
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
English version PDF (272 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM2005v069n06ABEH002290
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 6, Pages 3–20
DOI: https://doi.org/10.4213/im663
Bibliographic databases:
UDC: 517.987.4
MSC: 35A8, 35C15, 35C20, 35R15, 35R60, 46L45, 46N50, 60H15, 60H99, 81Q05, 81Q10, 81Q30, 81S40
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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\paper Randomized Hamiltonian Feynman integrals and Shr\"odinger--It\^o stochastic equations
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\pages 3--20
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:602
    Russian version PDF:293
    English version PDF:23
    References:63
    First page:3
     
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