Fibonacci Chain Polynomials: Identities from Self-Similarity
Condensed Matter
2007-05-23 v1
Abstract
Fibonacci chains are special diatomic, harmonic chains with uniform nearest neighbour interaction and two kinds of atoms (mass-ratio ) arranged according to the self-similar binary Fibonacci sequence , which is obtained by repeated substitution of and . The implications of the self-similarity of this sequence for the associated orthogonal polynomial system which govern these Fibonacci chains with fixed mass-ratio are studied.
Cite
@article{arxiv.cond-mat/9407056,
title = {Fibonacci Chain Polynomials: Identities from Self-Similarity},
author = {Wolfdieter Lang},
journal= {arXiv preprint arXiv:cond-mat/9407056},
year = {2007}
}
Comments
6 pages LATEX including 1 fig., KA-TP-2-94 "Harmonic Oscillators II" talk, Cocoyoc, M\'exico, March 23-25, 1994