Scalar Products in Twisted XXX Spin Chain. Determinant Representation
Universit&, S. Belliard, #233 +2 more
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.
arXiv:1906.06897•Symmetry Integrability and Geometry Methods and Applications•Sep 2, 2019•13 citations