seminar announcement

[dubrovin]

	SISSA Mathematical Physics Sector
	
	Dr. M.Hallnas

	   (SISSA)

MULTIVARIATE BESSEL POLYNOMIALS
RELATED TO THE SUTHERLAND MODEL

	Wednesday, November 5, 2008
	at 14:30, Room D of SSSA Main Building


Abstract
The (one-variable) Bessel polynomials, a classical family of orthogonal
polynomials, first appeared in a paper by Bochner in 1929. Among their
applications is the fact that they give the eigenfunctions of the bound
states of a quantum particle in a so-called Morse potential. As is
well-known, there exist an integrable multiparticle generalisation of  
this
model, where the interactions are given by the hyperbolic Sutherland
model. In this talk I will discuss a multivariable generalisation of the
Bessel polynomials which give the eigenfunctions of the bound states in
this multiparticle model. In particular, I will show that they are
orthogonal with respect to the relevant Hilbert space inner product, and
compute their norms. Thus providing a set of normalised, and pairwise
orthogonal, eigenfunctions of the hyperbolic Sutherland model with
external Morse potential.