Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model
Fabian H.L. Essler, Vladimir E. Korepin, Kareljan Schoutens
TL;DR
This paper demonstrates how to construct a complete set of eigenstates for the 1D Hubbard model using the nested Bethe Ansatz and SO(4) symmetry, ensuring all states are accounted for.
Contribution
It introduces a method combining the nested Bethe Ansatz with SO(4) symmetry to achieve completeness of eigenstates in the 1D Hubbard model.
Findings
Complete eigenstate set constructed for even-length lattices
Detailed counting of independent eigenstates provided
Method ensures no eigenstates are missed in the spectrum
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 . This is done by using the nested Bethe Ansatz {\it and} the symmetry of the model. We discuss in detail how the counting of independent eigenstates is carried out.
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