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

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arxiv 1306.1742 v3 pith:4HIB76Z5 submitted 2013-06-07 math-ph cond-mat.stat-mechhep-thmath.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
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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