Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model

Fabian H. L. Essler; Vladimir E. Korepin; Kareljan Schoutens

doi:10.1016/0550-3213(92)90575-v

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Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model

Fabian H. L. Essler·Vladimir E. Korepin·Kareljan Schoutens

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Abstract

We show how to construct a complete set of eigenstates of the hamiltonian of the one-dimensional Hubbard model on a lattice of even length $L$. This is done by using the nested Bethe Ansatz {\it and} the $SO(4)$ symmetry of the model. We discuss in detail how the counting of independent eigenstates is carried out.

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Fabian H. L. Essler, Vladimir E. Korepin, Kareljan Schoutens. 1992-09-12. Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model. https://doi.org/10.1016/0550-3213(92)90575-v

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