Some New Aspects of Degenerate Quantum Plasma

Journal Article · Tue Dec 14 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3533195· OSTI ID:21506959

Tsintsadze, Nodar L ^[1]

---

1. Department of Plasma Physics, E. Andronikashvii Institute of Physics, Tbilisi (Georgia)

Answers to some salient questions, which arise in quantum plasmas, are given. Starting from the Schroedinger equation for a single particle it is demonstrated how the Wigner-Moyal equation can be derived. It is shown that the Wigner-Moyal type of equation also exists in the classical field theory. As an example, from the Maxwell equations the Wigner-Moyal type of equation is obtained for a dense photon gas, which is classical, concluding that the Wigner-Moyal type of equation can be derived for any system, classical or quantum. A new type of quantum kinetic equations are presented. These novel kinetic equations allows to obtain a set of quantum hydrodynamic equations, which is impossible to derive by the Wigner-Moyal equation. The propagation of small perturbations and instabilities of these perturbations are then discussed, presenting new modes of quantum plasma waves. In the case of low frequency oscillations with ions, a new Bogolyubov type of spectrum is found. Furthermore, the Korteweg-de Vries (KdV) equation is derived and the contribution of the Madelung term in the formation of the KdV solitons is discussed.

• OSTI ID: 21506959
• Journal Information: AIP Conference Proceedings, Vol. 1306, Issue 1; Conference: Workshop on new frontiers in advanced plasma physics, Trieste (Italy), 5-16 Jul 2010; Other Information: DOI: 10.1063/1.3533195; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISTURBANCES
FIELD THEORIES
HYDRODYNAMICS
INSTABILITY
IONS
KINETIC EQUATIONS
KORTEWEG-DE VRIES EQUATION
MAXWELL EQUATIONS
OSCILLATIONS
PERTURBATION THEORY
PHOTONS
PLASMA CONFINEMENT
QUANTUM PLASMA
SCHROEDINGER EQUATION
SPECTRA
BOSONS
CHARGED PARTICLES
CONFINEMENT
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FLUID MECHANICS
MASSLESS PARTICLES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
WAVE EQUATIONS