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math-ph2016★ 10 cited
Universal Bethe ansatz solution for the Temperley-Lieb spin chain
Rafael I. Nepomechie, Rodrigo A. Pimenta
We consider the Temperley-Lieb (TL) open quantum spin chain with "free" boundary conditions associated with the spin- representation of quantum-deformed . We construct th…
math-ph2016★ 4 cited
Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
Rafael I. Nepomechie, Rodrigo A. Pimenta
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associa…