Quantum Trivelpiece-Gould waves in a magnetized dense plasma

TL;DR

This paper derives the dispersion relation for electrostatic waves in dense quantum plasmas using a magnetohydrodynamic model, connecting classical and quantum regimes and exploring nonlinear solitary wave solutions.

Contribution

It presents a derivation of the dispersion relation for quantum plasma waves and analyzes nonlinear solitary wave solutions, extending classical TG mode analysis to quantum conditions.

Findings

Dispersion relation reduces to classical TG modes in the classical limit.

Quantum effects modify the wave characteristics in dense plasmas.

Existence of solitary wave solutions in quantum plasma regimes.

Abstract

The dispersion relation for the electrostatic waves below the electron plasma frequency in a dense quantum plasma is derived by using the magnetohydrodynamic model. It is shown that in the classical case the dispersion relation reduces to the expression obtained for the well-known Trivelpiece-Gould (TG) modes. Attention is also devoted to the case of solitary waves associated with the nonlinear TG modes.