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Matematicheskie Zametki, 2001, Volume 69, Issue 5, Pages 740–750
DOI: https://doi.org/10.4213/mzm537 (Mi mzm537) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A Solvable Problem for the Stochastic Schrödinger Equation in Two Dimensions

A. V. Churkin

M. V. Lomonosov Moscow State University
Full-text PDF (214 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm537
Abstract: We construct a new explicit solution of the stochastic Schrödinger equation describing a quantum model of the interferometric detector of gravitational waves. For the evolution of this quantum model, we estimate autocorrelation functions of the detected signal and perturbations created by the measuring device. We discuss the influence of the characteristics of the measuring procedure on optimal choice of the length of the moving window which is used to estimate the frequency of gravitational waves by the method of correlation functions.
Received: 09.02.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 5, Pages 680–689
DOI: https://doi.org/10.1023/A:1010261911120
Bibliographic databases:
UDC: 519
Language: Russian
Citation: A. V. Churkin, “A Solvable Problem for the Stochastic Schrödinger Equation in Two Dimensions”, Mat. Zametki, 69:5 (2001), 740–750; Math. Notes, 69:5 (2001), 680–689
Citation in format AMSBIB
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\paper A Solvable Problem for the Stochastic Schr\"odinger Equation in Two Dimensions
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\pages 740--750
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\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 5
\pages 680--689
\crossref{https://doi.org/10.1023/A:1010261911120}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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