A BPS Interpretation of Shape Invariance

Details A BPS Interpretation of Shape Invariance A BPS Interpretation of Shape Invariance

2004-01-27

arxiv.org/abs/quant-ph/0401163v1

J.Phys. A37 (2004) 10397-10407

Physics

Quantum Physics

15 pages, 2 figures, LaTeX

Scientific paper

10.1088/0305-4470/37/43/026

We show that shape invariance appears when a quantum mechanical model is invariant under a centrally extended superalgebra endowed with an additional symmetry generator, which we dub the shift operator. The familiar mathematical and physical results of shape invariance then arise from the BPS structure associated with this shift operator. The shift operator also ensures that there is a one-to-one correspondence between the energy levels of such a model and the energies of the BPS-saturating states. These findings thus provide a more comprehensive algebraic setting for understanding shape invariance.

Affiliated with

Also associated with

No associations

Rating

A BPS Interpretation of Shape Invariance 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 BPS Interpretation of Shape Invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A BPS Interpretation of Shape Invariance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-647507