On The Influence of Two Parallel Plates on Atomic Levels

TL;DR

This study investigates how two parallel plates, either both permeable or one conducting and one permeable, affect the energy levels of a hydrogen atom situated between them, extending previous research on similar configurations.

Contribution

It provides a comparative analysis of atomic level shifts caused by different types of parallel plates, including limiting cases near each plate type.

Findings

Atomic energy levels are altered by the presence of the plates.

Different boundary conditions lead to distinct shifts in atomic levels.

Results extend and compare with existing literature on parallel conducting plates.

Abstract

This paper is devoted to the study of the influence of two parallel plates on the atomic levels of a Hydrogen atom placed in the region between the plates. We treat two situations, namely: the case where both plates are infinitely permeable and the case where one of them is a perfectly conducting plate and the other, an infinitely permeable one. We compare our result with those found in literature for two parallel conducting plates. The limiting cases where the atom is near a conducting plate and near a permeable one are also taken.