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.
- Pub Date:
- September 2019
- XXX chain; non-diagonal boundary conditions; scalar product; determinant;
- Mathematical Physics;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory
- SIGMA 15 (2019), 066, 30 pages