Jack

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An Identity of Jack Polynomials

In this work we give an alterative proof of one of basic properties of zonal polynomials and generalised it for Jack polynomials

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The Calogero–Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has an equally rich structure. In particular, its eigenfunctions, the Jack superpolynomials, appear to share the very same remarkable combinatorial and structural properties as t...

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Jack polynomials in superspace

This work initiates the study of orthogonal symmetric polynomials in superspace. Here we present two approaches leading to a family of orthogonal polynomials in superspace that generalize the Jack polynomials. The first approach relies on previous work by the authors in which eigenfunctions of the supersymmetric extension of the trigonometric Calogero-Moser-Sutherland Hamiltonian were construct...

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ژورنال

عنوان ژورنال: Offset

سال: 1969

ISSN: 2204-3659,1445-9418

DOI: 10.15209/offset.v0i14.651