Complementarity and phases in SU(3)
Mathematical Physics
2012-06-22 v1 math.MP
Quantum Physics
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.
Cite
@article{arxiv.1206.2507,
title = {Complementarity and phases in SU(3)},
author = {H. de Guise and A. Vourdas and L. L. Sanchez-Soto},
journal= {arXiv preprint arXiv:1206.2507},
year = {2012}
}
Comments
Published as part of a special issue on coherent states