Multi-indexed Jacobi polynomials and Maya diagrams
Mathematical Physics
2018-01-26 v1 Classical Analysis and ODEs
math.MP
Abstract
Multi-indexed Jacobi polynomials are defined by the Wronskian of four types of eigenfunctions of a deformed P\"oschl-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 P\"oschl-Teller Hamiltonian.
Keywords
Cite
@article{arxiv.1311.3570,
title = {Multi-indexed Jacobi polynomials and Maya diagrams},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:1311.3570},
year = {2018}
}
Comments
12 pages