Quaternionic Version of Rotation Groups

Latief Rahmawati, Muhammad Ardhi Khalif, Muhammad Farchani Rosyid

Abstract


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

Full Text:

PDF

References


De Leo, S, Rodrigues W.A., 1995, Quaternion and Special Relativity, Journal Mathematical

Physics, Vol.37, No.6

De Leo, S, Rodrigues W.A., 1999, Quaternion Groups in Physics, International Journal of Theoretical Physics, Vol. 38, No.8

Rahmawati, L., 2007, Skripsi : Tinjauan Grup-Grup Simetri Teori Relativitas Khusus Dalam Aljabar Kuaternion Real Dan Penerapannya Dalam Struktur Persamaan Dirac, FMIPA UGM, Yogyakarta.




DOI: http://dx.doi.org/10.21580/jnsmr.2015.1.1.479

Refbacks

  • There are currently no refbacks.


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