We review a recent construction of an explicit analytic series representation for symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero– Sutherland type models. We also indicate a generalisation of this result to polynomials which give the eigenfunctions of so-called ‘deformed’ Calogero–Sutherland type models
We discuss the symmetric homogeneous polynomial solutions of the generalized Laplace's equation whic...
An integral operator $M $ is constructed performing a separation of variables for the 3-particle qua...
AbstractWe introduce a family of rings of symmetric functions depending on an infinite sequence of p...
We consider the quantum Calogero model, which describes N non-distinguishable quantum particles on t...
In this paper we consider a large class of many-variable polynomials which contains generalizations ...
In the previous paper math-ph/0507015 we have studied the characters and Clebsch-Gordan series for t...
Translationally invariant symmetric polynomials as coordinates for n-body problems with identical pa...
The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland mod...
We consider the gl(N)-invariant Calogero-Sutherland Models with N=1,2,3,... in a unified framework, ...
Using the collective field method, we find a relation between the Jack symmetric polynomials, which ...
Wprowadzono model Calogero-Sutherlanda oraz przeanalizowano go pod kątem jego funkcji własnych. Zdef...
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring o...
Desrosiers, P (reprint author), Univ Talca, Inst Matemat & Fis, 2 Norte 685, Talca, Chile.We introdu...
AbstractWe introduce a family of rings of symmetric functions depending on an infinite sequence of p...
This paper is about a family of symmetric rational functions that form a one-parameter generalizatio...
We discuss the symmetric homogeneous polynomial solutions of the generalized Laplace's equation whic...
An integral operator $M $ is constructed performing a separation of variables for the 3-particle qua...
AbstractWe introduce a family of rings of symmetric functions depending on an infinite sequence of p...
We consider the quantum Calogero model, which describes N non-distinguishable quantum particles on t...
In this paper we consider a large class of many-variable polynomials which contains generalizations ...
In the previous paper math-ph/0507015 we have studied the characters and Clebsch-Gordan series for t...
Translationally invariant symmetric polynomials as coordinates for n-body problems with identical pa...
The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland mod...
We consider the gl(N)-invariant Calogero-Sutherland Models with N=1,2,3,... in a unified framework, ...
Using the collective field method, we find a relation between the Jack symmetric polynomials, which ...
Wprowadzono model Calogero-Sutherlanda oraz przeanalizowano go pod kątem jego funkcji własnych. Zdef...
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring o...
Desrosiers, P (reprint author), Univ Talca, Inst Matemat & Fis, 2 Norte 685, Talca, Chile.We introdu...
AbstractWe introduce a family of rings of symmetric functions depending on an infinite sequence of p...
This paper is about a family of symmetric rational functions that form a one-parameter generalizatio...
We discuss the symmetric homogeneous polynomial solutions of the generalized Laplace's equation whic...
An integral operator $M $ is constructed performing a separation of variables for the 3-particle qua...
AbstractWe introduce a family of rings of symmetric functions depending on an infinite sequence of p...