ON THE ROTATION MATRIX IN MINKOWSKI SPACE-TIME
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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).
Açıklama
Anahtar Kelimeler
Minkowski Space-Time, Rotation Matrix, Rodrigues Formula
Kaynak
Reports On Mathematical Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
74
Sayı
1