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

Hidetsugu Sakaguchi; Taichi Ogawana

doi:10.1103/PhysRevE.95.032214

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

Hidetsugu Sakaguchi, Taichi Ogawana

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Article number	032214
Journal	Physical Review E
Volume	95
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.95.032214
Publication status	Published - Mar 15 2017

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.95.032214

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abstract = "We reconsider a one-dimensional scattering problem in the Schr{\"o}dinger 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.",

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

Abstract

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