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All Journal JOURNAL OF NATURAL SCIENCES AND MATHEMATICS RESEARCH Journal of Natural Sciences and Mathematics Research
Latief Rahmawati, Latief
Ma’had Ta’dzhiimussunnah, Semarang, Central Java
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Materials Science & Nanotechnology Mathematics Physics

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Quaternionic Version of Rotation Groups and Lorentz Group Rahmawati, Latief; Khalif, Muhammad Ardhi; Rosyid, Muhammad Farchani
JOURNAL OF NATURAL SCIENCES AND MATHEMATICS RESEARCH 2015: JNSMR Volume 1 Issue 1 Year 2015
Publisher : Fakultas Ilmu Tarbiyah dan Keguruan, UIN Walisongo

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Abstract

Quaternionic version of rotation groups and Lorentz Group has been constructed. The rotation groups that has been discussed were quaternionic version of groups , O(3), and SO(3). The Lorentz groups that has been discussed were quaternionic version of groups SL(2;C), O(3; 1), and SOo(3; 1). Starting from the definition of each group, the parameters of the group were obtained. Finally the generators of the group were obtained. The commutation of the generator were also computed. 
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
Co-Authors Muhammad Ardhi Khalif, Muhammad Muhammad Ardhi Khalif, Muhammad Ardhi Muhammad Farchani Rosyid Muhammad Farchani Rosyid, Muhammad