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Algebraic Bethe ansatz for<i>Q</i>-operators: the Heisenberg spin chain
We diagonalize Q-operators for rational homogeneous -invariant Heisenberg spin chains using the algebraic Bethe ansatz. After deriving the fundamental commutation relations relevant for this case from the Yang–Baxter equation we demonstrate that the Q-operators act diagonally on the Bethe vectors if the Bethe equations are satisfied. In this way we …