Solutions of the Gaudin Equation and Gaudin Algebras
arXiv:math-ph/0505071 · doi:10.1088/0305-4470/38/25/007
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.
15 pages of LATEX