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

J. Abad; M. Rios

doi:10.1088/0305-4470/29/21/001

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

J. Abad·M. Rios

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Abstract

The general expression for the local matrix of a quantum chain $L(θ)$ with the site space in any representation of $su(3)$ is obtained. This is made by generalizing $L(θ)$ 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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BibTeX RIS

J. Abad, M. Rios. 1996-08-30. Bethe ansatz equations for quantum chains combining different representations of $su(3)$. https://doi.org/10.1088/0305-4470%2F29%2F21%2F001

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