Quaternionic Version of Rotation Groups

Latief Rahmawati*  -  Ma'had Ta'zhiimussunnah, Indonesia
Muhammad Ardhi Khalif  -  Jurusan Pendidikan Fisika, FITK, UIN Walisongo, Indonesia
Muhammad Farchani Rosyid  -  Jurusan Fisika, FMIPA, UGM, Indonesia

(*) Corresponding Author

Quaternionic version of rotation group SO(3) has been constructed. We construct
a quatenionic version of rotation operation that act to a quaternionic version of a
space coordinate vector. The computation are done for every rotation about each
coordinate axes (x,y, and z). The rotated quaternionic space coordinate vector con-
tain some unknown constants which determine the quaternionic rotation operator.
By solving for that constants, we get the expression of the quaternionics version
of the rotation operator. Finally the generators of th

Keywords : quaternion; rotation group

  1. De Leo, S, Rodrigues W.A., 1995, Quaternion and Special Relativity, Journal Mathematical
  2. Physics, Vol.37, No.6
  3. De Leo, S, Rodrigues W.A., 1999, Quaternion Groups in Physics, International Journal of Theoretical Physics, Vol. 38, No.8
  4. Rahmawati, L., 2007, Skripsi : Tinjauan Grup-Grup Simetri Teori Relativitas Khusus Dalam Aljabar Kuaternion Real Dan Penerapannya Dalam Struktur Persamaan Dirac, FMIPA UGM, Yogyakarta.

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Journal of Natural Sciences And Mathematics Research
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ISSN: 2614-6487 (Print)
ISSN: 2460-4453 (Online)

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