Дія на відстані та реакція випромінювання точкових частинок у просторі де Сіттера

The two-particle system with the time-asymmetric retarded-advanced electromagnetic interaction known as the Staruszkiewicz–Rudd–Hill model is considered in the de Sitter space-time. The manifestly covariant descriptions of the model within the Lagrangian and Hamiltonian formalisms with constraints a...

Full description

Saved in:
Bibliographic Details
Date:2019
Main Authors: Duviryak, A., Yaremko, Yu.
Format: Article
Language:English
Ukrainian
Published: Publishing house "Academperiodika" 2019
Subjects:
Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019523
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrainian Journal of Physics

Institution

Ukrainian Journal of Physics
Description
Summary:The two-particle system with the time-asymmetric retarded-advanced electromagnetic interaction known as the Staruszkiewicz–Rudd–Hill model is considered in the de Sitter space-time. The manifestly covariant descriptions of the model within the Lagrangian and Hamiltonian formalisms with constraints are proposed. It is shown that the model is de Sitter-invariant and integrable. An explicit solution of the equations of motion is derived. We use the covariant electromagnetic Green function in the de Sitter space in order to derive the equation of motion of a point charge in an external electromagnetic field, where the radiation reaction is taken into account.