3-PARTICLE CALOGERO MODEL - SUPERTRACES AND IDEALS ON THE OBSERVABLESALGEBRA

Authors
KONSTEIN SE
Citation
Se. Konstein, 3-PARTICLE CALOGERO MODEL - SUPERTRACES AND IDEALS ON THE OBSERVABLESALGEBRA, Theoretical and mathematical physics, 116(1), 1998, pp. 836-845
Citations number
12
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
116
Issue
1
Year of publication
1998
Pages
836 - 845
Database
ISI
SICI code
0040-5779(1998)116:1<836:3CM-SA>2.0.ZU;2-K
Abstract
The associative observables superalgebra of the three-particle Caloger o model giving all its wave functions via the standard Fock procedure has two independent supertraces. When the coupling constant upsilon is n +/- 1/3 or n + 1/2, the existence of two independent supertraces le ads to the existence of a nontrivial two-sided ideal in the observable s superalgebra for any integer n.