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Transmission of quantum particles through a one-dimensional fractal potential barrier

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Abstract

We consider scattering of a nonrelativistic quantum particle by a one-dimensional fractal potential barrier carried by a generalized Cantor set. We obtain recurrence relations for the reflection coefficient and examine the scaling properties as functions of the wave number.

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Authors
  1. M. D. Noskov
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  2. A. V. Shapovalov
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Additional information

V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 120–127, July, 1993.

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Noskov, M.D., Shapovalov, A.V. Transmission of quantum particles through a one-dimensional fractal potential barrier. Russ Phys J 36, 703–708 (1993). https://doi.org/10.1007/BF00559090

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