The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions
Strongly Correlated Electrons
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
Abstract
We argue that the square of the norm of the Hubbard wave function is proportional to the determinant of a matrix, which is obtained by linearization of the Lieb-Wu equations around a solution. This means that in the vicinity of a solution the Lieb-Wu equations are non-degenerate, if the corresponding wave function is non-zero. We further derive an action that generates the Lieb-Wu equations and express our determinant formula for the square of the norm in terms of the Hessian determinant of this action.
Cite
@article{arxiv.cond-mat/9908114,
title = {The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions},
author = {F. Göhmann and V. E. Korepin},
journal= {arXiv preprint arXiv:cond-mat/9908114},
year = {2009}
}
Comments
11 pages, Latex