New Kinetic Equations and Bogolyubov Energy Spectrum in a Fermi Quantum Plasma
Nodar L.Tsintsadze, Levan N.Tsintsadze
TL;DR
This paper derives new quantum kinetic equations for Fermi particles, reveals a Bogolyubov-type dispersion relation for quantum plasmas, and provides a model for dense Bose atoms with attractive interactions, including fluid equations and an equation of state.
Contribution
It introduces novel quantum kinetic equations and extends Bogolyubov's dispersion relation to Fermi plasmas, enhancing understanding of quantum plasma behavior.
Findings
Derived new quantum kinetic equations for Fermi particles
Disclosed Bogolyubov-type dispersion relation for quantum plasmas
Obtained fluid equations and equation of state for degenerate Fermi plasma
Abstract
New type of quantum kinetic equations of the Fermi particles are derived. The Bogolyubov's type of dispersion relation, which is valid for the Bose fluid, is disclosed. Model of neutral Bose atoms in dense strongly coupled plasmas with attractive interaction is discussed. A set of fluid equations describing the quantum plasmas is obtained. Furthermore, the equation of state of a degenerate Fermi plasma is derived.
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