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The matrices of Pauli quaternions, their De Moivre’s and Euler’s formulas
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2022-07-15 , DOI: 10.1142/s0219887822501754 Mücahit Akbıyık 1 , Seda Yamaç Akbıyık 2 , Fatih Yılmaz 3
中文翻译:
泡利四元数的矩阵,它们的 De Moivre 和 Euler 公式
更新日期:2022-07-15
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2022-07-15 , DOI: 10.1142/s0219887822501754 Mücahit Akbıyık 1 , Seda Yamaç Akbıyık 2 , Fatih Yılmaz 3
Affiliation
In this paper, we obtain Euler’s and De Moivre’s formulas for the matrix representation of Pauli quaternions. Moreover, we provide De Moivre’s formula for the light-like Pauli quaternions. Additionally, we give the nth roots of the matrix representation of Pauli quaternions. Moreover, we exemplify some of the results with illustrative examples to support the main formulas.
中文翻译:
泡利四元数的矩阵,它们的 De Moivre 和 Euler 公式
在本文中,我们获得了 Euler 和 De Moivre 的公式泡利四元数的矩阵表示。此外,我们提供了类光泡利四元数的 De Moivre 公式。此外,我们给出了泡利四元数矩阵表示的第n个根。此外,我们通过说明性示例来举例说明一些结果以支持主要公式。