Mallesh, KS and Mukunda, N (1997) The algebra and geometry of SU(3) matrices. In: Pramana - Journal of Physics, 49 (4). pp. 371-383.
The_algebra_and_geometry.pdf - Published Version
We give an elementary treatment of the defining representation and Lie algebra of the three-dimensional 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 axis-angle 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 three-level 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) axis-angle parameters.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Division of Physical & Mathematical Sciences > Physics
|Date Deposited:||22 Jun 2011 07:29|
|Last Modified:||22 Jun 2011 07:29|
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