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arxiv: 1306.1742 · v3 · pith:4HIB76Z5new · submitted 2013-06-07 · 🧮 math-ph · cond-mat.stat-mech· hep-th· math.MP

Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions

classification 🧮 math-ph cond-mat.stat-mechhep-thmath.MP
keywords ansatzbethearbitraryboundaryoff-diagonalrelationassociatedauthors
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With the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the $XXX$ spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated $T-Q$ relation and the Bethe ansatz equations are derived.

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