Bethe ansatz equations for quantum chains combining different representations of $su(3)$

Details Bethe ansatz equations for quantum chains combining different representations of $su(3)$ Bethe ansatz equations for quantum chains combining different representations of $su(3)$

1996-08-30

arxiv.org/abs/cond-mat/9609008v1

Physics

Condensed Matter

8 pages, Plaintex, harvmac, 3 figures, to appear in Jour. of Phys A

Scientific paper

10.1088/0305-4470/29/21/001

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 operators and using a generalization of the nested Bethe ansatz, the Bethe equations for a multistate quantum chain combining two arbitrary representations of $su(3)$ are obtained .

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