论文标题
向QED的电荷和田野的经典电动力学推导
Towards a derivation of Classical ElectroDynamics of charges and fields from QED
论文作者
论文摘要
本文的目的是双重的。一方面，我们严格地从量子电动力学的第一原理中，与正式的Bohr的量子力学对应原理一致的量子量表中的牛顿 - 马克斯韦尔方程。另一方面，我们建立了牛顿的全球良好性 - 马克斯韦尔系统在电荷分布的假设下的能量空间上。这两种结果都可以改善艺术的状态，并通过纳入半经典和测量理论技术来获得。新颖性之一是使用量子传播属性来构建牛顿 - 马克斯韦方程的全球解决方案。
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.
