Solutions of the Gaudin Equation and Gaudin Algebras
Balantekin, A. B. ; Dereli, T. ; Pehlivan, Y.
arXiv, 0505071 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-05-26
Classification:  Mathematical Physics,  Condensed Matter - Strongly Correlated Electrons,  Nuclear Theory 
@article{0505071,
     author = {Balantekin, A. B. and Dereli, T. and Pehlivan, Y.},
     title = {Solutions of the Gaudin Equation and Gaudin Algebras},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505071}
}

Balantekin, A. B.; Dereli, T.; Pehlivan, Y. Solutions of the Gaudin Equation and Gaudin Algebras. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505071/