Microscopic conservation laws for integrable lattice models
Microscopic conservation laws for integrable lattice models
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DOI：
10.1007/s00605-021-01529-5
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发表时间：
2020-12
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影响因子：
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通讯作者：
Benjamin Harrop-Griffiths;R. Killip;M. Vişan
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文献类型：
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作者：
Benjamin Harrop-Griffiths;R. Killip;M. Vişan
我们考虑两个离散的完全可积演化：户田格和Ablowitz-Ladik系统。本文的主旨是微观守恒律的发展，见证了这些动力学下的扰动行列式的守恒。通过这种方式，我们获得了离散的类似物的对象，我们发现在我们最近的分析KdV，NLS和mKdV必不可少的。与此相一致，我们重新审视的经典主题的微观守恒定律伴随着（重整化）的绿色的功能。
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.