The matrices of Pauli quaternions, their De Moivre's and Euler's formulas

Akblylk M., Yamaç Akblylk S., Yllmaz F.

International Journal of Geometric Methods in Modern Physics, cilt.19, sa.11, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 11
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0219887822501754
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: De Moivre's formula, Euler's formula, matrix representation, Pauli quaternion
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

In this paper, we obtain Euler's and De Moivre's formulas for the 4 × 4 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.