Wednesday, June 13, 2012

1206.2507 (H. de Guise et al.)

Complementarity and phases in SU(3)    [PDF]

H. de Guise, A. Vourdas, L. L. Sanchez-Soto
Phase operators and phase states are introduced for irreducible representations of the Lie algebra su(3) using a polar decomposition of ladder operators. In contradistinction with su(2), it is found that the su(3) polar decomposition does not uniquely determine a Hermitian phase operator. We describe two possible ways of proceeding: one based in imposing SU(2) invariance and the other based on the idea of complementarity. The generalization of these results to SU(n) is sketched.
View original: http://arxiv.org/abs/1206.2507

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