# -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} }

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…

## 21 Citations

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