一类广义Hamilton算子的守恒律
Conservation laws for a class of generic Hamiltonians
摘要：
在一个强耦合的扩展，我们构造了一类哈密顿算子，其中包括可积和不可积模型的局部准守恒算子。我们明确地表明，在最低阶微扰理论的运营商的结构是独立的系统的细节。高阶贡献的数值研究通过从头计算方法计算的海森堡图像中的本地运营商的时间演化。数值分析表明，即使模型是不可积的，拟守恒算子也可以是拟局部守恒定律的近似。
英文摘要：
Within a strong coupling expansion, we construct local quasi-conserved operators for a class of Hamiltonians that includes both integrable and non-integrable models. We explicitly show that at the lowest orders of perturbation theory the structure of the operators is independent of the system details. Higher order contributions are investigated numerically by means of an ab initio method for computing the time evolution of local operators in the Heisenberg picture. The numerical analysis suggests that the quasi-conserved operators could be approximations of a quasi-local conservation law, even if the model is non-integrable.
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