论文标题
近似Pauli-Fierz模型的Casimir-Polder效应：原子加壁壳
The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case
论文作者
论文摘要
我们研究了由与无限导体壁相互作用的氢原子组成的系统。相互作用的能量像$ l^{ - 3} $一样衰减，其中$ l $是原子与墙之间的距离，这是由于范德华力的出现。在本文中，我们展示了如何考虑电磁场的量子波动的贡献，将相互作用削弱到阶级$ l^{ - 4} $的衰减，从而导致延迟效应，而延迟效应以Casimir-Polder效应的名称。分析是通过研究与系统相关的合适的Pauli-fierz模型，以偶极近似的形式来完成，并减少到与0和1光子的相互作用。
We study a system composed of a hydrogen atom interacting with an infinite conductor wall. The interaction energy decays like $L^{-3}$, where $L$ is the distance between the atom and the wall, due to the emergence of the van der Waals forces. In this paper we show how, considering the contributions from the quantum fluctuations of the electromagnetic field, the interaction is weakened to a decay of order $L^{-4}$ giving rise to the retardation effects which fall under the name of Casimir-Polder effect. The analysis is done by studying a suitable Pauli-Fierz model associated to the system, in dipole approximation and reduced to the interaction with 0 and 1 photon.
