Artículos de revistas
Jack superpolynomials: physical and combinatorial definitions
Registro en:
Czechoslovak Journal of Physics 54 (11): 1223-1228
0011-4626
Autor
Desrosiers, P.
Lapointe, L.
Mathieu, P.
Institución
Resumen
Lapointe, L. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. 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