On New Pell Spinor Sequences

Abstract

The our motivation for this study is to define two new and particular sequences. The most essential feature of these sequences is that they are spinor sequences, spinors are used a lot in physics. In this study, these new spinor sequences obtained using spinor representations of Pell and Pell-Lucas quaternions are expressed. Moreover, some formulas such that Binet formulas, Cassini formulas and generating functions of these spinor sequences, which are called as Pell and Pell-Lucas spinor sequences. Then, the some relationships between Pell and Pell-Lucas spinor sequences are obtained. Therefore, an easier and more interesting representation of Pell and Pell-Lucas quaternions, which are a generalization of Pell and Pell-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.