Influence of quantum energy equation on electronic plasma oscillations

TL;DR

This paper derives a dispersion relation for Langmuir waves in a quantum plasma using hydrodynamic equations that include an energy equation, highlighting the influence of quantum effects on plasma oscillations.

Contribution

It introduces a set of hydrodynamic equations with an energy component for quantum particles and derives the dispersion relation for plasma oscillations.

Findings

Quantum effects modify Langmuir wave dispersion.

Hydrodynamic model with energy equation captures quantum plasma behavior.

Dispersion relation provides insights into plasma oscillations in quantum systems.

Abstract

Five-moment approximation in hydrodynamics includes not only continuity equation and momentum balance equation, but also energy equation. Set of hydrodynamic equations is presented for system of non-relativistic quantum particles with Coulomb interaction. This set of equations is linearized, and dispersion relation for Langmuir waves in quasi-neutral system of electrons and immobile ions is obtained.