Theoretical Studies of Long Lived Plasma Structures

TL;DR

This paper develops a theoretical model of long-lived plasma structures using electron oscillations, comparing classical and quantum approaches, and explores electron interactions leading to bound states relevant to natural plasmoids.

Contribution

It introduces a comprehensive theoretical framework for plasma structures based on electron oscillations, highlighting differences between classical and quantum models and their implications.

Findings

Electron oscillations can be attractive, leading to bound states.

Density profiles and dispersion relations are derived for plasma oscillations.

Potential applications to natural plasmoid formation are discussed.

Abstract

We construct the model of a long lived plasma structure based on spherically symmetric oscillations of electrons in plasma. Oscillations of electrons are studied in frames of both classical and quantum approaches. We obtain the density profile of electrons and the dispersion relations for these oscillations. The differences between classical and quantum approaches are discussed. Then we study the interaction between electrons participating in spherically symmetric oscillations. We find that this interaction can be attractive and electrons can form bound states. The applications of the obtained results to the theory of natural plasmoids are considered.