Horadam Spinors

IF 1.3 4区数学 Q1 MATHEMATICS

Journal of Mathematics Pub Date : 2024-01-29 DOI:10.1155/2024/6671745

Tülay Erişir

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引用次数: 0

摘要

旋光子可以表示为无穷小旋转的李代数。旋子也被定义为向量空间的元素，它通常携带克利福德代数的线性表示。本研究的动机是定义一个新的特殊序列。这个序列的一个基本特征是，在进行概括的同时，使用了在物理学中用途广泛的旋光子。这个使用旋量表示法定义的新序列被称为霍拉丹旋量序列；其中给出了诸如比奈公式、生成函数公式和卡西尼公式等公式。本研究给出的霍拉丹旋子是霍拉丹四元数列旋子表示的广义化。

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Horadam Spinors

Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are used. This new sequence defined using spinor representations is called the Horadam spinor sequence; formulas such as the Binet formula, generating function formula, and Cassini formula are given. The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences.

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来源期刊

Journal of Mathematics Mathematics-General Mathematics

CiteScore

2.50

自引率

14.30%

发文量

期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.