Classical Representation of a Quantum System at Equilibrium: Applications

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.

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References in corpus (8)

• Path Integral Monte Carlo Simulation of the Warm-Dense Homogeneous Electron Gas
• Coulomb systems at low density
• Temperature-dependent quantum pair potentials and their application to dense partially ionized hydrogen plasmas
• A simple classical mapping of the spin-polarized quantum electron gas: distribution functions and local field corrections
• Theoretical Description of Coulomb Balls - Fluid Phase
• Classical Representation of a Quantum System at Equilibrium: Theory
• Charge Correlations in a Harmonic Trap
• Classical Representation of a Quantum System at Equilibrium

Cited by in corpus (11)

• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• Uniform electron gas at finite temperatures
• \emph{Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas
• Exchange-correlation energy for the 3D homogeneous electron gas at arbitrary temperature
• Comment on "Discussion on `Novel attractive force between ions in quantum plasmas -- failure of simulations based on a density functional approach"
• Classical Representation of a Quantum System at Equilibrium: Theory
• The uniform electron gas at high temperatures: \emph{ab initio} path integral Monte Carlo simulations and analytical theory
• Revisiting the Vashishta-Singwi dielectric scheme for the warm dense uniform electron fluid
• Jellium at finite temperature
• On the density-density correlations of the non-interacting finite temperature electron gas
• Finite Temperature Quantum Effects on Confined Charges