Transmission coefficient from generalized Cantor-like potentials and its multifractality

Taichi Ogawana, Hidetsugu Sakaguchi

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We study the scattering problem at generalized Cantor-like potentials characterized by the expansion rate a and duplication number N, and derive an exact formula of transmittance. It was found that the transmittance is expressed with Chebyshev polynomials of the second kind, and the multifractality of the reflectance varies depending on a and N.

Original languageEnglish
Article number012205
JournalPhysical Review E
Issue number1
Publication statusPublished - Jan 12 2018

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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