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

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 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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