-symmetry, Cartan decompositions, Lie triple systems and Krein space-related Clifford algebras

@article{Gnther2010symmetryCD,
  title={-symmetry, Cartan decompositions, Lie triple systems and Krein space-related Clifford algebras},
  author={Uwe G{\"u}nther and Sergii Kuzhel},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2010},
  volume={43},
  pages={392002}
}
  • U. GüntherS. Kuzhel
  • Published 6 June 2010
  • Mathematics, Physics
  • Journal of Physics A: Mathematical and Theoretical
Gauged quantum mechanics (PTQM) and corresponding Krein space setups are studied. For models with constant non-Abelian gauge potentials and extended parity inversions compact and noncompact Lie group components are analyzed via Cartan decompositions. A Lie-triple structure is found and an interpretation as -symmetrically generalized Jaynes–Cummings model is possible with close relation to recently studied cavity QED setups with transmon states in multilevel artificial atoms. For models with… 

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