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| Title: | Jack superpolynomials: physical and combinatorial definitions |
| Authors: | Desrosiers, P.
Lapointe, L.
Mathieu, P. |
| Keywords: | supersymmetric quantum mechanics
symmetric superpolynomials |
| Issue Date: | Nov-2004 |
| Publisher: | Springer Netherlands |
| Citation: | Czechoslovak Journal of Physics 54 (11): 1223-1228 |
| Abstract: | Jack superpolynomials are eigenfunctions of the supersymmetric extension of the quantum trigonometric Calogero-Moser-Sutherland Hamiltonian. They are orthogonal with respect to the scalar product, dubbed physical, that is naturally induced by this quantum-mechanical problem. But Jack superpolynomials can also be defined more combinatorially, starting from the multiplicative bases of symmetric superpolynomials, enforcing orthogonality with respect to a one-parameter deformation of the combinatorial scalar product. Both constructions turn out to be equivalent |
| Description: | Lapointe, L. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. |
| URI: | http://dspace.utalca.cl/handle/1950/1664 |
| ISSN: | 0011-4626 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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