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- W2064340918 abstract "The Gaudin model based on the sl2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining the Bethe states of the system are constructed through a recurrence relation. The commutation relations between the generating function t(λ) of the integrals of motion and the creation operators are calculated and therefore the algebraic Bethe ansatz is fully implemented. The energy spectrum as well as the corresponding Bethe equations of the system coincide with the ones of the sl2-invariant Gaudin model. As opposed to the sl2-invariant case, the operator t(λ) and the Gaudin Hamiltonians are not Hermitian. Finally, the inner products and norms of the Bethe states are studied." @default.
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- W2064340918 date "2011-10-01" @default.
- W2064340918 modified "2023-10-17" @default.
- W2064340918 title "Algebraic Bethe ansatz for deformed Gaudin model" @default.
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- W2064340918 doi "https://doi.org/10.1063/1.3644345" @default.
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