BETHE-ANSATZ EQUATIONS FOR QUANTUM CHAINS COMBINING DIFFERENT REPRESENTATIONS OF SU(3)

Authors
ABAD J RIOS M
Citation
J. Abad et M. Rios, BETHE-ANSATZ EQUATIONS FOR QUANTUM CHAINS COMBINING DIFFERENT REPRESENTATIONS OF SU(3), Journal of physics. A, mathematical and general, 29(21), 1996, pp. 533-538
Citations number
17
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
21
Year of publication
1996
Pages
533 - 538
Database
ISI
SICI code
0305-4470(1996)29:21<533:BEFQCC>2.0.ZU;2-1
Abstract
The general expression for the local matrix of a quantum chain L(theta ) with the site space in any representation of SU(3) is obtained. This is made by generalizing L(theta) from the fundamental representation and imposing the fulfilment of the Yang-Baxter equation. With these op erators and using a generalization of the nested Bethe ansatz, the Bet he equations for a multistate quantum chain combining two arbitrary re presentations of SU(3) are obtained.