论文标题
介质系统:半经典与量子
Mesoscopic System: Semiclassical vs Quantum
论文作者
论文摘要
我们解释了弗里德尔总和这样的层次结构,例如公式,这些公式有助于我们了解介质系统对应用电场和磁场的响应。公式可以机械地得出完全量子,然后有一种数学方法来争论半经典极限,这可能会使公式实际上相关。但是,在存在FANO共鸣的情况下,数学处方与物理上无关。正确理解物理半经典限制到底是什么,因此未知,需要将来的工作。
We explain a hierarchy of Friedel sum rule like formulas that help us understand response of mesoscopic systems to applied electric and magnetic fields. The formulas can be derived fully quantum mechanically and then there is a mathematical way to argue a semiclassical limit which may make the formulas practically relevant. But the mathematical prescription is not physically relevant in presence of a Fano resonance. A proper understanding of what exactly is the physical semiclassical limit is therefor not known and require future work.