Multi-indexed ($q$-)Racah polynomials
Multi-indexed ($q$-)Racah polynomials
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多索引 ($q$-)Racah 多项式
DOI：
10.1088/1751-8113/45/38/385201
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
S. Odake and R. Sasaki
中科院分区：
文献类型：
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作者：
笠松健一;一瀬郁夫;松居哲生;S. Odake and R. Sasaki
作为多指标正交多项式计划的第二阶段，我们在一维真实的位移的“离散量子力学”框架下，提出了多指标（q-）Racah多项式。它们是从（q-）Racah多项式通过多次应用离散模拟的Darboux变换或Crum-Krein-Adler删除“虚状态”向量获得的，以类似于先前报道的多指标Laguerre和Jacobi多项式的方式。虚态矢量是具有负“本征值”的矩阵薛定谔方程的“解”，除了两个边界点之一。
As the second stage of the project multi-indexed orthogonal polynomials, we present, in the framework of'discrete quantum mechanics' with real shifts in one dimension, the multi-indexed (q-) Racah polynomials. They are obtained from the (q-) Racah polynomials by the multiple application of the discrete analogue of the Darboux transformations or the Crum–Krein–Adler deletion of'virtual state'vectors, in a similar way to the multi-indexed Laguerre and Jacobi polynomials reported earlier. The virtual state vectors are the'solutions' of the matrix Schrödinger equation with negative'eigenvalues', except for one of the two boundary points.