Algebra of Observables for Identical Particles in One Dimension

Details Algebra of Observables for Identical Particles in One Dimension Algebra of Observables for Identical Particles in One Dimension

1997-02-07

arxiv.org/abs/hep-th/9702066v1

Phys.Lett. B430 (1998) 151-160

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex, uses epsf, 1 eps figure included

Scientific paper

10.1016/S0370-2693(98)00502-4

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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