Completeness of the Bethe states for the rational, spin-1/2 Richardson--Gaudin system
Exactly Solvable and Integrable Systems
2017-10-19 v5 Mathematical Physics
math.MP
Abstract
Establishing the completeness of a Bethe Ansatz solution for an exactly solved model is a perennial challenge, which is typically approached on a case by case basis. For the rational, spin-1/2 Richardson--Gaudin system it will be argued that, for generic values of the system's coupling parameters, the Bethe states are complete. This method does not depend on knowledge of the distribution of Bethe roots, such as a string hypothesis, and is generalisable to a wider class of systems.
Keywords
Cite
@article{arxiv.1603.03542,
title = {Completeness of the Bethe states for the rational, spin-1/2 Richardson--Gaudin system},
author = {Jon Links},
journal= {arXiv preprint arXiv:1603.03542},
year = {2017}
}
Comments
15 pages. Submission to SciPost. Minor corrections made in this version in response to referee reports