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arXiv · 1206.2507

Complementarity and phases in SU(3)

H. de Guise·A. Vourdas·L. L. Sanchez-Soto
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Abstract

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.

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H. de Guise, A. Vourdas, L. L. Sanchez-Soto. 2012-06-12. Complementarity and phases in SU(3). https://doi.org/10.1088/1751-8113/45/24/244030

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