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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1987 Volume 71, Number 2, Pages 272–289 (Mi tmf4938)

This article is cited in 14 papers

Solutions of the Bethe ansatz equations for XXX antiferromagnet of arbitrary spin in the case of a finite number of sites

L. V. Avdeev, B. Derfel'


Abstract: For the exactly integrable isotropic Heisenberg model of the chain of $N$ spins $s$, numerical solutions of the Bethe-ansatz equations are obtained which correspond to the antiferromagnetic vacuum (for $sN\leq 128$) and the simplest excitations. At $s=1$, the complete set of states is presented for $N=6$ and the vacuum solution is estimated analytically for finite $N$. Deviations from the “string” picture for large $N$ are discussed.

Received: 30.12.1985


 English version:
Theoretical and Mathematical Physics, 1987, 71:2, 528–542

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© Steklov Math. Inst. of RAS, 2026