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arXiv · 1507.03242

Slavnov and Gaudin-Korepin formulas for models without $U(1)$ symmetry: the XXX chain on the segment

S. Belliard·R. A. Pimenta
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Abstract

We consider the isotropic spin$-\frac{1}{2}$ Heisenberg chain with the most general integrable boundaries. The scalar product between the on-shell Bethe vector and its off-shell dual, obtained by means of the modified algebraic Bethe ansatz, is given by a modified Slavnov formula. The corresponding Gaudin-Korepin formula, \textit{i.e.}, the square of the norm, is also obtained.

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S. Belliard, R. A. Pimenta. 2015-07-12. Slavnov and Gaudin-Korepin formulas for models without $U(1)$ symmetry: the XXX chain on the segment. https://doi.org/10.1088/1751-8113%2F49%2F17%2F17lt01

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