Publication: Solutions of the gaudin equation and gaudin algebras
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Balantekin, AB
Pehlivan, Y
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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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Iop Publishing Ltd
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Journal of Physics A: Mathematical and General
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10.1088/0305-4470/38/25/007
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