Solutions of the Gaudin Equation and Gaudin Algebras
classification
🧮 math-ph
cond-mat.str-elmath.MPnucl-th
keywords
gaudinequationassumptionshamiltonianssolutionsalgebraalgebraicalgebras
read the original 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.
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