This article is cited in 2 papers

A Solvable Problem for the Stochastic Schrödinger Equation in Two Dimensions

A. V. Churkin

M. V. Lomonosov Moscow State University

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.

UDC: 519

Received: 09.02.2000

DOI: 10.4213/mzm537

 English version: Mathematical Notes, 2001, 69:5, 680–689

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