Mallesh, KS and Mukunda, N (1997) The algebra and geometry of SU(3) matrices. In: Pramana  Journal of Physics, 49 (4). pp. 371383.

PDF
The_algebra_and_geometry.pdf  Published Version Download (557kB) 
Abstract
We give an elementary treatment of the defining representation and Lie algebra of the threedimensional unitary unimodular group SU(3). The geometrical properties of the Lie algebra, which is an eight dimensional real Linear vector space, are developed in an SU(3) covariant manner. The f and d symbols of SU(3) lead to two ways of 'multiplying' two vectors to produce a third, and several useful geometric and algebraic identities are derived. The axisangle parametrization of SU(3) is developed as a generalization of that for SU(2), and the specifically new features are brought out. Application to the dynamics of threelevel systems is outlined.
Item Type:  Journal Article 

Additional Information:  Copyright of this article belongs to Indian Academy of Sciences. 
Keywords:  SU(3) matrices;octet algebra;octet geometry;SU(3) axisangle parameters. 
Department/Centre:  Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Physics 
Depositing User:  Ms V Mangala 
Date Deposited:  22 Jun 2011 07:29 
Last Modified:  22 Jun 2011 07:29 
URI:  http://eprints.iisc.ac.in/id/eprint/38532 
Actions (login required)
View Item 