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.

Open Access Copyright (c) 2016 Journal Of Natural Sciences And Mathematics Research

Journal of Natural Sciences And Mathematics Research
Published by Faculty of Sciences and Technology UIN Walisongo Semarang
Jl Prof. Dr. Hamka Kampus III Ngaliyan Semarang 50185
Phone: +62 81225797962
Website: https://journal.walisongo.ac.id/index.php/JNSMR

ISSN: 2614-6487 (Print)
ISSN: 2460-4453 (Online)

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Get a feed by atom here, RRS2 here and OAI Links here