ON THE ROTATION MATRIX IN MINKOWSKI SPACE-TIME
REPORTS ON MATHEMATICAL PHYSICS, cilt.74, sa.1, ss.27-38, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 1
- Basım Tarihi: 2014
- Doi Numarası: 10.1016/s0034-4877(14)60055-0
- Dergi Adı: REPORTS ON MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.27-38
- Anahtar Kelimeler: Minkowski space-time, rotation matrix, Rodrigues formula, QUATERNIONS
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper, a Rodrigues-like formula is derived for 4 x 4 semi skew-symmetric real matrices in E-1(4). For this purpose, we use the decomposition of a semi skew-symmetric matrix A = theta(1)A(1) + theta(2)A(2) by two unique semi skew-symmetric matrices A(1) and A(2) satisfying the properties A(1)A(2) = theta, A(1)(3) = A1 and A(2)(3) = A(2). Then, we find Lorentzian rotation matrices with semi skew-symmetric matrices by Rodrigues-like formula. Furthermore, we give a way to find the semi skew-symmetric matrix A for a given Lorentzian rotation matrix R such that R = e(A).