Excitation of Longitudinal Waves in a Degenerate Isotropic Quantum Plasma

TL;DR

This paper derives a dispersion relation for electron beam interactions in a degenerate quantum plasma, revealing new quantum instabilities and discussing excitation of Bogolyubov's spectrum under strong electric fields.

Contribution

It introduces a novel dispersion equation for quantum plasma-beam interactions and uncovers purely quantum instabilities not present in classical plasma models.

Findings

Identification of new quantum instabilities

Derivation of growth rates for quantum modes

Discussion of excitation of Bogolyubov's spectrum

Abstract

A dispersion equation, which describes the interaction of low density electron beam with a degenerate electron quantum plasma, is derived and examined for some interesting cases. In addition to the instabilities similar to those for classical plasma, due to the quantum effect a new type of instability is found. Growth rates of these new modes, which are purely quantum, are obtained. Furthermore, the excitation of Bogolyubov's type of spectrum by a strong electric field is discussed.