대수적 베테 가설 풀이(algebraic Bethe ansatz)

하이젠베르크 XXX 스핀 체인 모형

$\begin{eqnarray} \left[ B(\lambda), B(\lambda') \right] \ &=& 0 \\ A(\lambda)\ B(\lambda') &=& {a(\lambda' - \lambda)\over b(\lambda' - \lambda)} B(\lambda')\ A(\lambda) - {c(\lambda' - \lambda)\over b(\lambda' - \lambda)} B(\lambda)\ A(\lambda') \\ D(\lambda)\ B(\lambda') &=& {a(\lambda - \lambda')\over b(\lambda - \lambda')}B(\lambda')\ D(\lambda) - {c(\lambda - \lambda')\over b(\lambda - \lambda')} B(\lambda)\ D(\lambda') \end{eqnarray}$

메모

• http://en.wikipedia.org/wiki/Partial_trace
• Nepomechie, Rafael I. 1998. “A Spin Chain Primer.” arXiv:hep-th/9810032 (October 5). http://arxiv.org/abs/hep-th/9810032.