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math-ph2013★ 30 cited
Singular solutions, repeated roots and completeness for higher-spin chains
Wenrui Hao, Rafael I. Nepomechie, Andrew J. Sommese
We investigate the completeness of the solutions of the Bethe equations for the integrable spin-s isotropic (XXX) spin chain with periodic boundary conditions. Solutions containing…
math-ph2013★ 87 cited
On the completeness of solutions of Bethe's equations
Wenrui Hao, Rafael I. Nepomechie, Andrew J. Sommese
We consider the Bethe equations for the isotropic spin-1/2 Heisenberg quantum spin chain with periodic boundary conditions. We formulate a conjecture for the number of solutions wi…