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

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

2010-06-06

arxiv.org/abs/1006.1134v1

J. Phys. A: Math. Theor. 43, (2010), 392002 (FTC)

Physics

Mathematical Physics

11 pages

Scientific paper

10.1088/1751-8113/43/39/392002

Gauged PT 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 PT-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 Abelian gauge potentials a hidden Clifford algebra structure is found and used to obtain the fundamental symmetry of Krein space related J-selfadjoint extensions for PTQM setups with ultra-localized potentials.

Affiliated with

Also associated with

No associations

Rating

PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-366018