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Quaternionic Version of Rotation Groups Rahmawati, Latief; Ardhi Khalif, Muhammad; Farchani Rosyid, Muhammad
Journal Of Natural Sciences And Mathematics Research Vol 1, No 1 (2015): Volume 1, Nomor 1, 2015
Publisher : Faculty of Science and Technology, State Islamic University Walisongo Central Java

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (72.184 KB) | DOI: 10.21580/jnsmr.2015.1.1.479

Abstract

Quaternionic version of rotation group SO(3) has been constructed. We constructa quatenionic version of rotation operation that act to a quaternionic version of aspace coordinate vector. The computation are done for every rotation about eachcoordinate 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 versionof the rotation operator. Finally the generators of th