II型三对角对基的变化

IF 2.8 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2025-08-19 DOI:10.1016/j.nuclphysb.2025.117083

Nicolas Crampé , Julien Gaboriaud , Satoshi Tsujimoto

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引用次数: 0

摘要

本文讨论II型三对角对的问题。这涉及到两个线性变换A和A—。我们定义了两种碱。在第一个模型中，A是对角矩阵，而A -美女是块三对角矩阵；在第二个模型中，A是块三对角矩阵，而A -美女是对角矩阵。我们得到这两个基之间基系数的变化。系数是一种特殊的函数，它被写成类似于Racah多项式的多项式的嵌套乘积，但在其表达式中包含移位运算符。

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Change of basis for tridiagonal pairs of type II

This paper is on the topic of tridiagonal pairs of type II. These involve two linear transformations A and

A^{⋆}

. We define two bases. In the first one, A acts as a diagonal matrix while

A^{⋆}

acts as a block tridiagonal matrix, and in the second one, A acts as a block tridiagonal matrix while

A^{⋆}

acts as a diagonal matrix. We obtain the change of basis coefficients between these two bases. The coefficients are special functions that are written as a nested product of polynomials that resemble Racah polynomials but involve shift operators in their expression.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.