论文标题
局部电荷电流分布的多极量子电动力学：光谱理论和重新归一化
Multipolar quantum electrodynamics of localized charge-current distributions: Spectral theory and renormalization
论文作者
论文摘要
我们制定了非相关量子场理论，以模拟量化电磁场和局部电荷 - 电流分布之间的相互作用。电子自由度是在微观极化和磁化场算子中编码的，它们的矩具有用电荷电流分布的多重矩识别。多极汉密尔顿人是从最小的耦合汉密尔顿（Hamiltonian）获得的，通常被称为Power-Zienau-woolley转换。我们使用扰动理论重新归一化，结果是由于电子与电磁场中电子和量子真空波动之间的相互作用而导致电子能级的前阶辐射校正。我们重新归一化的能量转移构成了原子氢的羔羊转移的概括，对原子和分子的一般局部组件有效，可能具有净电荷，但没有游离电流。通过在一系列多重力矩中扩展磁场，我们的结果可以用于研究对这种能量转移的贡献，来自特定的多个任意顺序的多极矩。
We formulate a non-relativistic quantum field theory to model interactions between quantized electromagnetic fields and localized charge-current distributions. The electronic degrees of freedom are encoded in microscopic polarization and magnetization field operators whose moments are identified with the multipole moments of the charge-current distribution. The multipolar Hamiltonian is obtained from the minimal coupling Hamiltonian through a unitary transformation, often referred to as the Power-Zienau-Woolley transformation; we renormalize this Hamiltonian using perturbation theory, the result of which is used to compute the leading-order radiative corrections to the electronic energy levels due to interactions between the electrons and quantum vacuum fluctuations in the electromagnetic field. Our renormalized energy shift constitutes a generalization of the Lamb shift in atomic hydrogen, valid for general localized assemblies of atoms and molecules, possibly with net charge but absent free current. By expanding the fields in a series of multipole moments, our results can be used to study contributions to this energy shift coming from specific multipole moments of arbitrary order.
