Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential

Details Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential

2008-07-29

arxiv.org/abs/0807.4740v2

Mathematics

Quantum Algebra

a few minor misprints corrected

Scientific paper

A multivariable generalisation of the Bessel polynomials is introduced and studied. In particular, we deduce their series expansion in Jack polynomials, a limit transition from multivariable Jacobi polynomials, a sequence of algebraically independent eigenoperators, Pieri type recurrence relations, and certain orthogonality properties. We also show that these multivariable Bessel polynomials provide a (finite) set of eigenfunctions of the hyperbolic Sutherland model with external Morse potential.

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