Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model

Details Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model

2003-05-05

arxiv.org/abs/hep-th/0305038v2

Nucl.Phys. B674 (2003) 615-633

Physics

High Energy Physics

High Energy Physics - Theory

Latex 2e, shortened version, one reference added, 18 pages

Scientific paper

We present an algebraic construction of the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement. These eigenfunctions are the superspace extension of the generalized Hermite (or Hi-Jack) polynomials. The conserved quantities of the rational supersymmetric model are related to their trigonometric relatives through a similarity transformation. This leads to a simple expression between the corresponding eigenfunctions: the generalized Hermite superpolynomials are written as a differential operator acting on the corresponding Jack superpolynomials. As an aside, the maximal superintegrability of the supersymmetric rational Calogero-Moser-Sutherland model is demonstrated.

Affiliated with

Also associated with

No associations

Rating

Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model 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 Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41440