Onsager’s algebra and partially orthogonal polynomials
نویسنده
چکیده
The energy eigenvalues of the superintegrable chiral Potts model are determined by the zeros of special polynomials which define finite representations of Onsager’s algebra. The polynomials determining the low-sector eigenvalues have been given by Baxter in 1988. In the Z3−case they satisfy 4-term recursion relations and so cannot form orthogonal sequences. However, we show that they are closely related to Jacobi polynomials and satisfy a special ”partial orthogonality” with respect to a Jacobi weight function. PACS: 02.30.I, 75.10.J, 68.35.R
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The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials
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