Charged Particle-Image Interaction Near a Conducting Surface

TL;DR

This paper investigates how electrons interact with conducting surfaces using a quantum formalism, deriving effective potentials for single and double plane configurations to understand electron-image electron scattering.

Contribution

It introduces a quantum formalism based on Bohm-Pines transformation to analyze electron-surface interactions and derives effective interaction potentials for different surface configurations.

Findings

Derived effective interaction potentials for electron-surface configurations.

Analyzed electron-image electron scattering phenomena.

Provided a theoretical framework for electron-conducting surface interactions.

Abstract

The interaction of a bulk electron with conducting surfaces is studied by means of Bohm-Pines transformation in the second quantization formalism. The effective interaction potentials are obtained for the case of one plane and two plane configurations in the form of electron-image electron scattering.