The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case

Autor:	Olivieri, Marco
Rok vydání:	2022
Předmět:	Mathematical Physics Mathematics - Functional Analysis Mathematics - Spectral Theory Quantum Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: Corrected typos and some calculation mistakes. Improved the presentation of the main result and the dependence on the fine structure constant and on the ultra-violet cut-off
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.02203 Zobrazit plný text záznamu View this record from Arxiv