Mean field approximation for the dense charged drop

TL;DR

This paper applies mean field approximation to analyze a charged particle within a dense charged drop, solving the Schrödinger equation under spherical symmetry to understand the system's quantum behavior.

Contribution

It introduces a mean field approach to model a probe charged particle in a dense charged drop and provides solutions to the Schrödinger equation in this context.

Findings

First-order mean field solutions for the Schrödinger equation

Insights into quantum behavior of charged particles in dense drops

Framework for future detailed quantum analyses

Abstract

In this note, we consider the mean field approximation for the description of the probe charged particle in a dense charged drop. We solve the corresponding Schr\"{o}dinger equation for the drop with spherical symmetry in the first order of mean field approximation and discuss the obtained results.