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

Published 7 Jun 2013 in math-ph, cond-mat.stat-mech, hep-th, and math.MP | (1306.1742v3)

Abstract: 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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