Semiconductors, Fermi statistics and multi-dimensional Cantor sets
type: Item
instance of: scholarly article
title: Semiconductors, Fermi statistics and multi-dimensional Cantor sets
zbMATH Open document ID: 0786.58025
DOI: 10.1016/0960-0779(93)90032-V
published in: Chaos, Solitons and Fractals
publication date: 1994-05-06T00:00:00Z
review text: Classical bosonic and fermionic behaviour of Cantor sets at ergodic criticality is discussed. In particular a class of problems is considered which are modelled using the Fibonacci sequence. Possible connections to mathematical models of semiconductors such as the Harper equation are suggested.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 82D40
Mathematics Subject Classification ID: 82D45
zbMATH DE Number: 427750
zbMATH Keywords: Fibonacci sequence
zbMATH Keywords: Cantor sets
zbMATH Keywords: ergodic criticality
zbMATH Keywords: Harper equation
author: Mohamed Saladin El Naschie
reviewed by: A. V. Aminova
MaRDI profile type: Publication
cites work: Internal Cantor distance and entropy of multidimensional Peano-Hilbert spaces
cites work: Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime
cites work: On certain infinite dimensional Cantor sets and the Schrödinger wave
cites work: Cantorian distance, statistical mechanics and universal behaviour of multi-dimensional triadic sets
cites work: Mathematical model for chaos and ergodic criticality in four dimensions
cites work: Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
cites work: Multi-dimensional Cantor sets in classical and quantum mechanics
cites work: Q3975234
Recommended article: Semiconductors and Cantorian spectra
Recommended article: Statistical geometry of a Cantor discretum and semiconductors
Recommended article: Semiconductors and Dirichlet-to-Neumann maps
Recommended article: Electrons in solids. Mesoscopics, photonics, quantum computing, correlations, topology
Recommended article: Diffusive semiconductor moment equations using Fermi-Dirac statistics
Recommended article: Q4869443
Recommended article: Semi-classical asymptotics in solid state physics
Recommended article: Q4925960
Recommended article: Quantum diffusion, fractal spectra, and chaos in semiconductor microstructures
Recommended article: Semiconductor Equations for variable Mobilities Based on Boltzmann Statistics or Fermi-Dirac Statistics
description: scientific article; zbMATH DE number 427750