A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models

Details A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models

2005-11-08

arxiv.org/abs/hep-th/0511097v1

Mod.Phys.Lett.A21:691-699,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

10.1142/S0217732306019682

We consider non-Hermitian but PT-symmetric extensions of Calogero models, which have been proposed by Basu-Mallick and Kundu for two types of Lie algebras. We address the question of whether these extensions are meaningful for all remaining Lie algebras (Coxeter groups) and if in addition one may extend the models beyond the rational case to trigonometric, hyperbolic and elliptic models. We find that all these new models remain integrable, albeit for the non-rational potentials one requires additional terms in the extension in order to compensate for the breaking of integrability.

Affiliated with

Also associated with

No associations

Rating

A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models 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 A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-293864