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Geometric Phases for Three State Systems

量子物理 2007-05-23 v1

摘要

The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelian connection one-forms or vector potentials that would appear in a three dimensional quantum system with adiabatic characteristics are given explicitly. This is done in terms of the Euler angle parameterization of SU(3) which enables a straight-forward calculation of these quantities and its immediate generalization.

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引用

@article{arxiv.quant-ph/9902061,
  title  = {Geometric Phases for Three State Systems},
  author = {Mark S. Byrd},
  journal= {arXiv preprint arXiv:quant-ph/9902061},
  year   = {2007}
}

备注

13 pages, LaTeX2e