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We apply the Sklyanin method of separation of variables to the reflection algebra underlying the open spin-1/2 XXX chain with non-diagonal boundary fields.
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E. K. Sklyanin, The quantum Toda chain , Non-linear Equations in Classical and Quantum Field Theory (N. Sanchez, ed.), Lecture Notes in Physics, vol. 226, Springer Verlag, Berlin, 1985, p. 196
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R. Murgan, R. I. Nepomechie, and C. Shi, Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity , J. Stat. Mech. (2006), P08006, arXiv:hep-th/0605223
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W.-L. Yang, R. I. Nepomechie, and Y.-Z. Zhang, Q-operator and T-Q relation from the fusion hierarchy , Phys. Lett. B 633
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A. Chervov and G. Falqui, Manin matrices and Talalaev’s formula , (2007), arXiv:math.QA/0711.2236
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J. Teschner, On the spectrum of the sinh-Gordon model in finite volume , (2007), arXiv:hep-th/0702214
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J. Cao and Y. Wang, Spin current in quantum XXZ spin chain , Nucl. Phys. B 792
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2008
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2006
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