论文标题
可整合晶格模型的微观保护法
Microscopic conservation laws for integrable lattice models
论文作者
论文摘要
我们考虑了两个完全可以集成的进化：Toda晶格和Ablowitz-Ladik系统。本文的主要目的是制定微观保护法，这些法律证明了这些动态下的扰动决定因素的保护。通过这种方式，我们获得了对物体的离散类似物，这些对象在最近对KDV，NLS和MKDV的分析中至关重要。 与此同时，我们重新审视了绿色功能（重新归一化的）痕迹的微观保护法的经典主题。
We consider two discrete completely integrable evolutions: the Toda Lattice and the Ablowitz-Ladik system. The principal thrust of the paper is the development of microscopic conservation laws that witness the conservation of the perturbation determinant under these dynamics. In this way, we obtain discrete analogues of objects that we found essential in our recent analyses of KdV, NLS, and mKdV. In concert with this, we revisit the classical topic of microscopic conservation laws attendant to the (renormalized) trace of the Green's function.
