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• W3100839488 abstract "We study the influence of disorder on propagation of waves in one-dimensional structures. Transmission properties of the process governed by the Schr{o}dinger equation with the white noise potential can be expressed through the Lyapunov exponent $gamma$ which we determine explicitly as a function of the noise intensity sigma and the frequency omega. We find uniform two-parameter asymptotic expressions for $gamma$ which allow us to evaluate $gamma$ for different relations between sigma and omega. The value of the Lyapunov exponent is also obtained in the case of a short-range correlated noise, which is shown to be less than its white noise counterpart." @default.
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• W3100839488 date "2013-10-01" @default.
• W3100839488 modified "2023-09-24" @default.
• W3100839488 title "Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential" @default.
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• W3100839488 doi "https://doi.org/10.1134/s1061920813040067" @default.
• W3100839488 hasPublicationYear "2013" @default.
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