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arXiv · hep-th/9702066

Algebra of Observables for Identical Particles in One Dimension

Serguei B. Isakov·Jon Magne Leinaas·Jan Myrheim·Alexios P. Polychronakos·Raimund Varnhagen
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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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Serguei B. Isakov, Jon Magne Leinaas, Jan Myrheim, Alexios P. Polychronakos, Raimund Varnhagen. 1997-02-07. Algebra of Observables for Identical Particles in One Dimension. https://doi.org/10.1016/s0370-2693(98)00502-4

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