Higher order Hamiltonians for the trigonometric Gaudin model

Alexander Molev and Eric Ragoucy


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