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 {\it and} the $SO(4)$ symmetry of the model. We discuss in detail how the counting of independent eigenstates is carried out.

33 pages, using latex, to appear in Nucl.Phys. B (FS)

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