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A Solvable Problem for the Stochastic Schrödinger Equation in Two Dimensions

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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.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    A. V. Churkin

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  1. A. V. Churkin
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Churkin, A.V. A Solvable Problem for the Stochastic Schrödinger Equation in Two Dimensions. Mathematical Notes 69, 680–689 (2001). https://doi.org/10.1023/A:1010261911120

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