Solutions of the Gaudin Equation and Gaudin Algebras

Details Solutions of the Gaudin Equation and Gaudin Algebras Solutions of the Gaudin Equation and Gaudin Algebras

2005-05-26

arxiv.org/abs/math-ph/0505071v1

J.Phys. A38 (2005) 5697-5708

Physics

Mathematical Physics

15 pages of LATEX

Scientific paper

10.1088/0305-4470/38/25/007

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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