English

Algebra of Observables for Identical Particles in One Dimension

High Energy Physics - Theory 2009-10-30 v1 Condensed Matter

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.

Keywords

Cite

@article{arxiv.hep-th/9702066,
  title  = {Algebra of Observables for Identical Particles in One Dimension},
  author = {Serguei B. Isakov and Jon Magne Leinaas and Jan Myrheim and Alexios P. Polychronakos and Raimund Varnhagen},
  journal= {arXiv preprint arXiv:hep-th/9702066},
  year   = {2009}
}

Comments

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