Coordinate Bethe Ansatz for Spin s XXX Model

TL;DR

This paper extends the coordinate Bethe ansatz method to compute eigenfunctions and eigenvalues for the integrable spin s XXX model, generalizing previous results for lower spins.

Contribution

It provides explicit calculations of the Hamiltonian and eigenfunctions for arbitrary spin s, broadening the understanding of integrable spin chains.

Findings

Explicit eigenfunctions and eigenvalues for spin s XXX model

Generalization of previous spin 1/2 and 1 results

Explicit Hamiltonian computation for the model

Abstract

We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin 1/2 and spin 1 chains.