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Scaling laws of reflection coefficients of quantum waves at a Cantor-like potential
Hidetsugu Sakaguchi1, Taichi Ogawana1
1Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580, Japan.
Physical Review. E
|April 19, 2017
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.