Algebra of Observables for Identical Particles in One Dimension
Serguei B. Isakov, Jon Magne Leinaas, Jan Myrheim, Alexios P. Polychronakos, Raimund Varnhagen
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.
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