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Slavnov and Gaudin-Korepin formulas for models without $U(1)$ symmetry: the XXX chain on the segment (1507.03242v2)
Published 12 Jul 2015 in math-ph and math.MP
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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