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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 81, Number 1, Pages 120–133
(Mi tmf5271)
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Wave transmission coefficients for one-dimensional random barriers
A. V. Marchenko, S. A. Molchanov, L. A. Pastur
Abstract:
The logarithmic decrement $\gamma_D$ is studied for the wave transition coefficient in the case of a long one-dimensional random barrier described by the Markov type potential or by chaotically distributed $\delta$-function-like scatterers. The connection between $\gamma_D$ and $(-1)$ order moment of the amplitude of the Cauchy problem solution of the corresponding Schrödinger equation as well as the Lyapunov coefficient of this equation is established. Some asymptotics of $\gamma_D$ are also found.
Received: 15.02.1988
Citation:
A. V. Marchenko, S. A. Molchanov, L. A. Pastur, “Wave transmission coefficients for one-dimensional random barriers”, TMF, 81:1 (1989), 120–133; Theoret. and Math. Phys., 81:1 (1989), 1096–1106
Linking options:
https://www.mathnet.ru/eng/tmf5271 https://www.mathnet.ru/eng/tmf/v81/i1/p120
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