How to strictly calculate self-consistent fields of realistic plasma particles

TL;DR

This paper develops a complete and reliable method for calculating self-consistent fields in realistic plasma particles, addressing limitations of existing incomplete methods for scientific research.

Contribution

It introduces a rigorous approach to plasma field calculation, improving upon prior incomplete methods for scientific accuracy.

Findings

The new method provides more accurate plasma field calculations.

It simplifies the presentation of the calculation process.

The approach is validated as a reliable tool for scientific investigation.

Abstract

Because currently the most popular method of calculating plasma self-consistent fields is an incomplete method which, strictly speaking, is not suitable to scientific investigation, we develop this method into be a complete reliable basic tool for scientific investigation. Here, the text after the pargraph around Eq.(7) have two different presentations, the presentation given latter is more concise and straightforward. PACS: 52.65.-y, 52.35.-g.