## Higher order Hamiltonians for the trigonometric Gaudin model

### Alexander Molev and Eric Ragoucy

#### 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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 Monday, February 19, 2018