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A new type of solution of the Schrödinger equation on a self-similar fractal potential

N L Chuprikov·O V Spiridonova
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Abstract

Scattering a quantum particle by a self-similar fractal potential on a Cantor set is investigated. We present a new type of solution of the functional equation for the transfer matrix of this potential, which was derived earlier from the Schrödinger equation.

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N L Chuprikov, O V Spiridonova. 2008-07-04. A new type of solution of the Schrödinger equation on a self-similar fractal potential. https://doi.org/10.1088/0305-4470/39/37/l01

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