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Mathematics > General Mathematics

Title: On some Properties of Generalized Tribonacci Spinors

Abstract: Spinors are used in physics quite extensively. The goal of this study is also the spinor structure lying in the basis of the quaternion algebra. In this paper, first, we have introduced spinors mathematically. Then, we have defined Tribonacci spinors using the generalized Tribonacci quaternions. Later, we have established the structure of algebra for these spinors. Finally, we have proved some important formulas such as Binet and Cassini-like formulas which are given for some series of numbers in mathematics for Tribonacci spinors.
Comments: 12 pages
Subjects: General Mathematics (math.GM)
MSC classes: 11B39, 15A66, 11R52
Cite as: arXiv:2404.11620 [math.GM]
  (or arXiv:2404.11620v1 [math.GM] for this version)

Submission history

From: Gamaliel Cerda-Morales [view email]
[v1] Sun, 31 Mar 2024 21:37:28 GMT (8kb)

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