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- monodromy nonambiguity 单值性
- They showed that the generating transformation of the monodromy group can be preseribed arbitrarily. 他们证明了产生单值群的变换可以任意地预先指定。
- They showed that the generating transformation of the monodromy group can be prescribed arbitrarily. 他们证明了产生单值群的变换可以任意地预先指定。
- Thus, the integrability of the system is proved. We list the commutation relations among the elements of such monodromy matrix through the Yang-Baxter equation. 然后由Yang-Baxter方程给出monodromy矩阵的各矩阵元之间所满足的代数关系,利用Bethe Ansatz方法对哈密顿量进行对角化,可求出系统的本征植和本征矢量。
- By expanding the Yang-Baxter relation and the reflection equation, we obtain the commutation relations of the elements of the double-row monodromy matrix. 在此基础上,从顶点模型的观点出发,我们利用Yang-Baxter方程和边界反射方程给出了双行monodromy矩阵的矩阵元之间的对易关系。
- And by using the quantum inverse scattering method, it has been shown that the monodromy matrix satisfies the quantum Yang-Baxter equation(QYBE) on both a finite interval and an infinite interval. So the integrability of this model is proved. 文章由一个推广的Lax pair表述形式出发,导出了推广的多分量费米型量子DNLS模型的哈密顿量; 利用量子反散射方法,找到了由Lax矩阵定义的monodromy矩阵在有限间隔和无限间隔情况下所满足的量子Yang-Baxter方程(QYBE),从而证明了模型的可积性;
- Through the commutation relations among the elements of monodromy matrix listed by the quantum the Yang-Baxter equation , the eigenvalues and the eigenvectors of the model can also be obtained. 文章最后指出,由量子Yang-Baxter关系可以得到monodromy矩阵的所有矩阵元所满足的代数关系,通过这些代数关系便可准确求解系统的本征值与本征函数。
- Then, we find the Yang-Baxter equation satisfied by the monodromy matrix defined through Lax operator. Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter. 接着找到了由Lax矩阵所定义的monodromy矩阵所满足的Yang-Baxter方程(YBE),利用monodromy矩阵对谱参数的展开可找出无穷多守恒量,从而证明了此模型的可积性;
- Keywords Black Hole;Perturbationsl field;Quasinormal modes;Late-time tail;Coupled factor;Monodromy method; 黑洞;微扰场;似正规模;晚期拖尾;耦合因子;单值法;
- nonambiguity 单值性
- monodromy operator 单值算子
- monodromy transformation 单值变换
- monodromyn. 单值性
- monodromy group 单值群
- monodromy matrix 单值矩阵
- monodromy theorem 单值定理
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