Solutions of the Gaudin Equation and Gaudin Algebras
Mathematical Physics
2009-11-11 v1 Strongly Correlated Electrons
math.MP
Nuclear Theory
Abstract
Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite dimensional complex Lie algebra.
Keywords
Cite
@article{arxiv.math-ph/0505071,
title = {Solutions of the Gaudin Equation and Gaudin Algebras},
author = {A. B. Balantekin and T. Dereli and Y. Pehlivan},
journal= {arXiv preprint arXiv:math-ph/0505071},
year = {2009}
}
Comments
15 pages of LATEX