The Measure of the Orthogonal Polynomials Related to Fibonacci Chains: The Periodic Case

Details The Measure of the Orthogonal Polynomials Related to Fibonacci Chains: The Periodic Case The Measure of the Orthogonal Polynomials Related to Fibonacci Chains: The Periodic Case

1996-02-08

arxiv.org/abs/cond-mat/9602049v2

Physics

Condensed Matter

19 pages, TeX, 3 scanned figures, uuencoded file, original figures on request, some misprints corrected, tbp: J. Phys. A

Scientific paper

10.1088/0305-4470/29/14/035

The spectral measure for the two families of orthogonal polynomial systems related to periodic chains with N-particle elementary unit and nearest neighbour harmonic interaction is computed using two different methods. The interest is in the orthogonal polynomials related to Fibonacci chains in the periodic approximation. The relation of the measure to appropriately defined Green's functions is established.

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