Solution of the quantum inverse problem
High Energy Physics - Theory
2008-11-26 v1 Condensed Matter
Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
Abstract
We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly correlated electrons, such as the supersymmetric t-J model or the the EKS model.
Cite
@article{arxiv.hep-th/9910253,
title = {Solution of the quantum inverse problem},
author = {F. Göhmann and V. E. Korepin},
journal= {arXiv preprint arXiv:hep-th/9910253},
year = {2008}
}
Comments
37 pages, AMS-Latex, AMS-Fonts