Fibonacci Chain Polynomials: Identities from Self-Similarity

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dc.creatorLang, Wolfdieter
dc.date1994-07-12
dc.date.accessioned2026-07-07T03:07:21Z
dc.date.available2026-07-07T03:07:21Z
dc.descriptionFibonacci chains are special diatomic, harmonic chains with uniform nearest neighbour interaction and two kinds of atoms (mass-ratio $r$) arranged according to the self-similar binary Fibonacci sequence $ABAABABA...$, which is obtained by repeated substitution of $A \to AB$ and $B \to A$. The implications of the self-similarity of this sequence for the associated orthogonal polynomial system which govern these Fibonacci chains with fixed mass-ratio $r$ are studied.
dc.description6 pages LATEX including 1 fig., KA-TP-2-94 "Harmonic Oscillators II" talk, Cocoyoc, México, March 23-25, 1994
dc.identifierhttps://arxiv.org/abs/cond-mat/9407056
dc.identifierhttp://arxiv.org/abs/cond-mat/9407056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27138
dc.subjectCondensed Matter
dc.titleFibonacci Chain Polynomials: Identities from Self-Similarity
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