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

Authors: Wolfdieter Lang (ITP Karlsruhe)

arXiv: cond-mat/9602049v2 - DOI (cond-mat)

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

License: ASSUMED 1991-2003

Abstract: 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.

Submitted to arXiv on 08 Feb. 1996

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