Author/Authors :
Serguei B. Isakov، نويسنده , , Jon Magne Leinaas، نويسنده , , Jan Myrheim، نويسنده , , Alexios P. Polychronakos، نويسنده , , Raimund Varnhagen، نويسنده ,
Abstract :
The algebra of observables for identical particles on a line is formulated starting from postulated basic commutation relations. A realization of this algebra in the Calogero model was previously known. New realizations are presented here in terms of differentiation operators and in terms of SU(N)-invariant observables of the Hermitian matrix models. Some particular structure properties of the algebra are briefly discussed.
