Finite Temperature Quantum Effects on Confined Charges

TL;DR

This paper investigates how quantum effects influence the behavior of confined Coulomb charges across various densities and temperatures, using a classical mapping approach to analyze shell structures.

Contribution

It introduces a method to incorporate quantum effects into classical liquid state theory for confined charges, covering a broad range of physical conditions.

Findings

Quantum effects modify shell structures in confined charges.

Classical liquid state theory can be extended to include quantum influences.

The approach applies from dusty plasmas to warm dense matter.

Abstract

A quantum system of N Coulomb charges confined within a harmonic trap is considered over a wide range of densities and temperatures. A recently described construction of an equivalent classical system is applied in order to exploit the rather complete classical description of harmonic confinement via liquid state theory. Here, the effects of quantum mechanics on that representation are described with attention focused on the origin and nature of shell structure. The analysis extends from the classical strong Coulomb coupling conditions of dusty plasmas to the opposite limit of low temperatures and large densities characteristic of "warm, dense matter".