Add to ORKGThe $B_N$-type Calogero-Sutherland-Moser system in one-dimension is shown to be equivalent to a set of decoupled oscillators by a similarity transformation. This result is used to show the connection of the $A_N$ and $B_N$ type models and explain the degeneracy structure of the later. We identify the commuting constants of motion and the generators of a linear $W_\infty$ algebra associated with the $B_N$ system
The rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwis...
We propose an approach to treat (1+1)--dimensional fermionic systems based on the idea of algebraic ...
We show that the Calogero and Calogero-Sutherland models possess an N-body generalization of shape i...
We establish a simple algebraic relationship between the energy eigenstates of the rational Calogero...
We establish the exact correspondence of the Calogero-Marchioro-Wolfes model and several of its gene...
We study the W_\infty algebra in the Calegero-Sutherland model using the exchange operators. The pre...
We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of A_{N+1}-type is eq...
We study an N-body Calogero model in the S_N-symmetric subspace of the positive definite Fock space....
The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland mod...
Translationally invariant symmetric polynomials as coordinates for n-body problems with identical pa...
We elaborate the idea that matrix gauge theories provide a natural framework to describe identical p...
A method is developed to construct the solutions of one and many variable, linear differential equat...
Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of ...
We consider the quantum Calogero model, which describes N non-distinguishable quantum particles on t...
The purpose of this paper is to prove an equivalence between the energy spectrum of the CSM model an...
The rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwis...
We propose an approach to treat (1+1)--dimensional fermionic systems based on the idea of algebraic ...
We show that the Calogero and Calogero-Sutherland models possess an N-body generalization of shape i...
We establish a simple algebraic relationship between the energy eigenstates of the rational Calogero...
We establish the exact correspondence of the Calogero-Marchioro-Wolfes model and several of its gene...
We study the W_\infty algebra in the Calegero-Sutherland model using the exchange operators. The pre...
We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of A_{N+1}-type is eq...
We study an N-body Calogero model in the S_N-symmetric subspace of the positive definite Fock space....
The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland mod...
Translationally invariant symmetric polynomials as coordinates for n-body problems with identical pa...
We elaborate the idea that matrix gauge theories provide a natural framework to describe identical p...
A method is developed to construct the solutions of one and many variable, linear differential equat...
Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of ...
We consider the quantum Calogero model, which describes N non-distinguishable quantum particles on t...
The purpose of this paper is to prove an equivalence between the energy spectrum of the CSM model an...
The rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwis...
We propose an approach to treat (1+1)--dimensional fermionic systems based on the idea of algebraic ...
We show that the Calogero and Calogero-Sutherland models possess an N-body generalization of shape i...