Scaling laws of reflection coefficients of quantum waves at a Cantor-like potential.

Sakaguchi, Hidetsugu; Ogawana, Taichi · Phys Rev E · 2017

basic_science · Level V

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Abstract

We reconsider a one-dimensional scattering problem in the Schrödinger equation with a Cantor-like potential. The reflection coefficient obeys a scaling law for sufficiently large wave number k. The scaling law is expressed with a universal function characterized by a multifractal.