Classical Representation of a Quantum System at Equilibrium: Applications

TL;DR

This paper applies a formal classical representation of quantum systems at equilibrium to analyze an electron gas and quantum effects in confined charges, providing practical insights into their thermodynamics and structure.

Contribution

It extends a previous formalism to approximate classical models for quantum systems, enabling practical applications to electron gases and confined charge systems.

Findings

Classical representation effectively models electron gas thermodynamics.

Quantum effects influence shell structure in confined charges.

The approach offers a practical tool for studying quantum systems at equilibrium.

Abstract

In the preceding paper, the structure and thermodynamics of a given quantum system was represented by a corresponding classical system having an effective temperature, local chemical potential, and pair potential. Here, that formal correspondence is implemented approximately for applications to two quantum systems. The first is the electron gas (jellium) over a range of temperatures and densities. The second is an investigation of quantum effects on shell structure for charges confined by a harmonic potential.