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Article Dans Une Revue SIGMA Année : 2019

Scalar Products in Twisted XXX Spin Chain. Determinant Representation

Nikita A. Slavnov
  • Fonction : Auteur

Résumé

We consider XXX spin-$1/2$ Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both Bethe vectors are on shell, we obtain a determinant representation for the norm of on-shell Bethe vector and prove orthogonality of the on-shell vectors corresponding to the different eigenvalues of the transfer matrix.

Dates et versions

hal-02178562 , version 1 (10-07-2019)

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Citer

Samuel Belliard, Nikita A. Slavnov. Scalar Products in Twisted XXX Spin Chain. Determinant Representation. SIGMA, 2019, 15, pp.066. ⟨10.3842/SIGMA.2019.066⟩. ⟨hal-02178562⟩
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