Hopf Structure for the q-Lévy-Meixner Oscillator Algebra

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Open Systems & Information Dynamics Pub Date : 2023-03-01 DOI:10.1142/s123016122350004x

A. Riahi, H. Rebei, Amine Ettaieb, Z. Alhussain, H. Elmonser

引用次数: 0

Abstract

The main purpose of this paper is to investigate a generalized oscillator algebra, naturally associated with the [Formula: see text]-Lévy-Meixner polynomials. We solve the problem of the Hopf algebraic structure for the [Formula: see text]-deformed Lévy-Meixner oscillator algebra based on the one-parameter deformation of canonical commutation relations.

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q- lvac - mexner振子代数的Hopf结构

本文的主要目的是研究一种广义振子代数，它自然地与[公式:见文本]- lsamv - meixner多项式联系在一起。基于正则交换关系的单参数变形，求解了[公式:见文]-变形l -梅克纳振子代数的Hopf代数结构问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.

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