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

Wolfdieter Lang
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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.

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Wolfdieter Lang. 1996-04-02. The Measure of the Orthogonal Polynomials Related to Fibonacci Chains: The Periodic Case. https://doi.org/10.1088/0305-4470%2F29%2F14%2F035

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