均匀背景磁通量密度下带电粒子运动网络模型态密度的规范不变电荷幂微扰展开
Gauge-invariant perturbation expansion in powers of electric charge for the density-of-states of a network model for charged-particle motion in a uniform background magnetic flux density
摘要：
一个明确的规范不变的扩展的权力$e/\hbar$倍的磁通量密度正式获得的状态密度（其特征在于由轨迹的预解$\widehat G$ = $(ω- \hat h)^{-1}$）的带电粒子移动的厄米量子网络是嵌入在一个欧几里得背景，支持一个均匀的磁通量密度。这里给出的通量密度的三阶显式表达式对于"局部迹“（$\widehat P_i \widehat G$的迹，其中$\widehat P_i$是网络节点上的投影器）也是有效的，并且似乎以前没有给出过。
英文摘要：
An explicitly-gauge-invariant expansion in powers of $e/\hbar$ times the magnetic flux density is formally obtained for the density of states (as characterized by the trace of the resolvent $\widehat G$ = $(ω- \hat h)^{-1}$) of a charged particle moving on a Hermitian quantum network that is embedded in a Euclidean background that supports a uniform magnetic flux density. The explicit expressions, given here up to third order in the flux density, are also valid for the ``local trace'' (the trace of $\widehat P_i \widehat G$, where $\widehat P_i$ is the projector on a network node), and do not appear to have been previously given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
