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arXiv · 1802.06499

Higher order Hamiltonians for the trigonometric Gaudin model

Alexander Molev·Eric Ragoucy
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Abstract

We consider the trigonometric classical $r$-matrix for $\mathfrak{gl}_N$ and the associated quantum Gaudin model. We produce higher Hamiltonians in an explicit form by applying the limit $q\to 1$ to elements of the Bethe subalgebra for the $XXZ$ model.

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Alexander Molev, Eric Ragoucy. 2018-02-19. Higher order Hamiltonians for the trigonometric Gaudin model. https://doi.org/10.1007/s11005-019-01170-2

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