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arXiv · 1311.3570

Multi-indexed Jacobi polynomials and Maya diagrams

Kouichi Takemura
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Abstract

Multi-indexed Jacobi polynomials are defined by the Wronskian of four types of eigenfunctions of a deformed Pöschl-Teller Hamiltonian. We give a correspondence between multi-indexed Jacobi polynomials and pairs of Maya diagrams, and we show that any multi-indexed Jacobi polynomial is essentially equal to some multi-indexed Jacobi polynomial of two types of eigenfunction. As an application, we show a Wronskian-type formula of some special eigenstates of the deformed Pöschl-Teller Hamiltonian.

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Kouichi Takemura. 2013-11-14. Multi-indexed Jacobi polynomials and Maya diagrams. https://doi.org/10.1063/1.4899082

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