Scalar Products in Twisted XXX Spin Chain. Determinant Representation
- Belliard, Samuel
- Slavnov, Nikita A.
Publication date
January 2019
DOI Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Abstract
International audienceWe 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.</BR
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