从QED导出经典的电荷和场的ElectroDynamics
Towards a derivation of Classical ElectroDynamics of charges and fields from QED
摘要：
本文的目的是双重的。一方面，我们从量子电动力学的第一性原理出发，严格推导了库仑规范下的Newton-Maxwell方程，并与量子力学的形式玻尔对应原理相一致。另一方面，我们建立了Newton-Maxwell系统在能量空间上的整体适定性。这两个结果提高了国家的艺术，并通过将半经典和测量理论技术。其中一个新颖之处是使用量子传播特性来建立牛顿-麦克斯韦方程的全局解。
英文摘要：
The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr's correspondence principle of quantum mechanics. On the other hand, we establish the global well-posedness of the Newton--Maxwell system on energy-spaces under weak assumptions on the charge distribution. Both results improve the state of the art, and are obtained by incorporating semiclassical and measure theoretical techniques. One of the novelties is the use of quantum propagation properties in order to build global solutions of the Newton--Maxwell equation.
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。
