Exact solution of a supersymmetric Gaudin model
Mathematical Physics
2007-05-23 v2 Condensed Matter
math.MP
Exactly Solvable and Integrable Systems
Abstract
A special case of the Gaudin model related to the superalgebra is investigated. An exact solution for the model in the spin-1/2 representation is presented. A complete set of commuting observables is diagonalized and the corresponding eigenvectors and eigenvalues are explicitly calculated. The approach used in this paper is based on the co-algebra symmetry of the model, already known from the spin-1/2 Calogero-Gaudin system.
Keywords
Cite
@article{arxiv.math-ph/0310003,
title = {Exact solution of a supersymmetric Gaudin model},
author = {Julia Breiderhoff and Fabio Musso and Orlando Ragnisco},
journal= {arXiv preprint arXiv:math-ph/0310003},
year = {2007}
}
Comments
20 pages, Latex