On the structure of Bethe vectors
classification
🧮 math-ph
math.MP
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bethestructurevectorsmodelstermsalgebraicansatzesassociated
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The structure of Bethe vectors for generalised models associated with the XXX- and XXZ-type R-matrix is investigated. The Bethe vectors in terms of two--component and multi--component models are described. Consequently, their structure in terms of local variables and operators is provided. This, as a consequence, proves the equivalence of coordinate and algebraic Bethe ansatzes for the Heisenberg XXX and XXZ spin chains.
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