Work

Analytical solution of the Sommerfeld–Page equation

Year: 2024

Type: article

Abstract: The Sommerfeld–Page equation describes the non-relativistic dynamics of a classical electron modeled by a sphere of finite size with a uniform surface charge density. It is a delay differential equation, and almost no exact solution of this equation was known until recently. However, progress has been made, and an analytical solution was recently found for an almost identical delay differential equation, which arose in the context of the mathematical modeling of the COVID-19 epidemics. Inspired by this research, we offer a pedagogical exposition of how one can find an analytical solution of the Sommerfeld–Page equation.

Source: American Journal of Physics

DOI: 10.1119/5.0156685

Author: Zurab K. Silagadze

Institutions: Novosibirsk State University, Budker Institute of Nuclear Physics

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403686487

FWCI: 0.16

Cites: 33

Cited by: 1

Related to: 10