Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation

Details Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation

2007-06-08

arxiv.org/abs/0706.1114v4

J.Phys.A40:14403-14412,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, typos corrected; to appear in J. Phys. A

Scientific paper

10.1088/1751-8113/40/48/007

A hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems. In spite of the intimate relationship between the two quantum models, the hidden supersymmetry in them displays essential differences. In particular, the kernel of the supercharges of the Poschl-Teller system, unlike the case of Lame equation, includes nonphysical states. By means of Lame equation, we clarify the nature of these peculiar states, and show that they encode essential information not only on the original hyperbolic Poschl-Teller system, but also on its singular hyperbolic and trigonometric modifications, and reflect the intimate relation of the model to a free particle system.

Affiliated with

Also associated with

No associations

Rating

Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation 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 Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652515