Geometric Phases forSU(3) Representations and Three Level Quantum Systems

  title={Geometric Phases forSU(3) Representations and Three Level Quantum Systems},
  author={Gaurav Khanna and Shomeek Mukhopadhyay and R. Simon and N. Mukunda},
  journal={Annals of Physics},
A comprehensive analysis of the pattern of geometric phases arising in unitary representations of the groupSU(3) is presented. The structure of the group manifold, convenient local coordinate systems and their overlaps, and complete expressions for the Maurer–Cartan forms are described. Combined with a listing of all inequivalent continuous subgroups ofSU(3) and the general properties of dynamical phases associated with Lie group unitary representations, one finds that nontrivial dynamical… 

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