Fibonacci Chain Polynomials: Identities from Self-Similarity
Wolfdieter Lang
Abstract
Fibonacci 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 AB and B 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.
Create a lesson
Related papers
Knots in Condensed Matters
Y. M. Cho
Bouchaud's model exhibits two different aging regimes in dimension one
Gerard Ben Arous, Jiri Cerny
Periodic diffraction patterns for 1D quasicrystals
Pawel Buczek, Lorenzo Sadun, Janusz Wolny
Adiabatic association of ultracold molecules via magnetic field tunable interactions
Krzysztof Goral, Thorsten Koehler, Simon A. Gardiner et al.
High-Temperature Atomic Superfluidity in Lattice Boson-Fermion Mixtures
F. Illuminati, A. Albus
Constructive Methods of Invariant Manifolds for Kinetic Problems
A. N. Gorban, I. V. Karlin, A. Yu. Zinovyev