四分量非线性Schr $\ddot{o}$ dinger模型的Y（5）对称性
Y(so(5)) symmtry of the nonlinear Schr$\ddot{o}$dinger model with four-cmponents
摘要：
四分量费米子的量子非线性Schr $\ddot{o}$ dinger（NLS）模型在无穷区间上表现出$Y(so(5))$对称性。证明了所构造的Yangian生成元满足Drinfel'd公式，并进一步证明了与$so(5)$代数结构相关的Yangian化给出的有理R-矩阵的一般形式之间的$RTT$关系.
英文摘要：
The quantum nonlinear Schr$\ddot{o}$dinger(NLS) model with four-component fermions exhibits a $Y(so(5))$ symmetry when considered on an infintite interval. The constructed generators of Yangian are proved to satisfy the Drinfel'd formula and furthermore, the $RTT$ relation with the general form of rational R-matrix given by Yang-Baxterization associated with $so(5)$ algebraic structure.
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