ALGEBRA OF OBSERVABLES FOR IDENTICAL PARTICLES IN ONE-DIMENSION

Citation
Sb. Isakov et al., ALGEBRA OF OBSERVABLES FOR IDENTICAL PARTICLES IN ONE-DIMENSION, Physics letters. Section B, 430(1-2), 1998, pp. 151-160
Citations number
19
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
430
Issue
1-2
Year of publication
1998
Pages
151 - 160
Database
ISI
SICI code
0370-2693(1998)430:1-2<151:AOOFIP>2.0.ZU;2-H
Abstract
The algebra of observables for identical particles on a line is formul ated starting from postulated basic commutation relations. A realizati on of this algebra in the Calogero model was previously known. New rea lizations are presented here in terms of differentiation operators and in terms of SU(N)-invariant observables of the Hermitian matrix model s. Some particular structure properties of the algebra are briefly dis cussed. (C) 1998 Elsevier Science B.V. All rights reserved.