scholarly journals Effect of Electron Exchange on the Dispersion Relation of Plasma Oscillations

1958 ◽  
Vol 19 (2) ◽  
pp. 153-158 ◽  
Author(s):  
Hideo Kanazawa ◽  
Sho-ichiro Tani
Keyword(s):  
Dispersion Relation ◽  
Electron Exchange ◽  
Plasma Oscillations

Dispersion relation of high-frequency plasma oscillations in Hall thrusters

2008 ◽  
Vol 15 (3) ◽  
pp. 034502 ◽  
Author(s):  
A. Lazurenko ◽  
G. Coduti ◽  
S. Mazouffre ◽  
G. Bonhomme
Keyword(s):  
Dispersion Relation ◽  
High Frequency ◽  
Hall Thrusters ◽  
Plasma Oscillations ◽  
High Frequency Plasma ◽  
Frequency Plasma

DIELECTRIC THEORY OF PLASMA OSCILLATIONS AND ITS EXTENSION TO THE EXCITON PROBLEM

1963 ◽  
Vol 41 (9) ◽  
pp. 1470-1481
Author(s):  
C. Horie
Keyword(s):  
Dispersion Relation ◽  
Charge Density ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Correlation Effects ◽  
Plasma Oscillations ◽  
Local Charge ◽  
New Form ◽  
Plasma Problem

A new form of the microscopic expression for the dielectric constant is derived and used to obtain the dispersion relation for plasma modes. It is found that the usual dispersion relation for plasma modes derived using the random phase approximation contains higher-order correlation effects than is usually believed. The dielectric approach to the plasma problem is extended to the exciton problem by introducing a nonlocal charge density instead of the local charge density appearing in the case of the plasma modes. The same equation determining the energy of the exciton states as derived in a previous paper is obtained.

Effect of Electron Exchange on the Dispersion Relation of Plasmons

1961 ◽  
Vol 121 (4) ◽  
pp. 941-942 ◽  
Author(s):  
Oldwig von Roos ◽  
Jonas S. Zmuidzinas
Keyword(s):  
Dispersion Relation ◽  
Electron Exchange

Application of the collective approach to the thermodynamics of an electron gas

1970 ◽  
Vol 4 (1) ◽  
pp. 83-107 ◽  
Author(s):  
Lawrence J. Caroff ◽  
Richard L. Liboff
Keyword(s):  
High Temperature ◽  
Energy Spectrum ◽  
Dispersion Relation ◽  
Internal Energy ◽  
Electron Gas ◽  
Harmonic Oscillators ◽  
Thermodynamic Quantities ◽  
Low Density ◽  
Plasma Oscillations ◽  
Longitudinal Modes

The collective approach of Pines & Bohm has been applied to the problem of the thermodynamics of the N-particle electron gas including transverse radiation. Partitioning of the internal energy and certain of the other thermodynamic quantities is discussed generally. The system is seen to divide itself into three approximately independent subsystems: (1) an infinite set of free harmonic oscillators, corresponding to the transverse field, with an energy spectrum given by ωT(κ), where ωT(κ), is given by the dispersion relation for transverse electromagnetic waves in a plasma; (2) a set of 8 free harmonic oscillators corresponding to the longitudinal (plasma) oscillations, with an energy spectrum ωT(κ), given by the dispersion relation for plasma oscillations; and (3) a set of (N — 2s/3) quasi-particles of mass approximately equal to the electron mass, interacting via a short-range potential which is essentially screened Coulomb. Analytical expressions for the energy, pressure, and constant-volume specific heat of the transverse oscillators are given, together with approximate expressions applicable to the high-density—low-temperature and low-density—high-temperature limits. Detailed numerical calculations of the internal energy and pressure of the longitudinal modes are presented. In addition, the contributions to the energy and pressure from the particle portion are evaluated in the low-density—high-temperature limit as functions of the cut-off wave vector κc; κc is the maximum k-vector of the longitudinal oscillators.

Plasma oscillations of the electron shell of the atom

1966 ◽  
Vol 89 (5) ◽  
pp. 39-47 ◽  
Author(s):  
D.A. Kirzhnits ◽  
Yurii E. Lozovik
Keyword(s):  
Electron Shell ◽  
Plasma Oscillations

Hydrodynamic, Kinetic Modes of Plasma and Relaxation Damping of Plasma Oscillations

2015 ◽  
Vol 60 (3) ◽  
pp. 232-246 ◽  
Author(s):  
V.N. Gorev ◽  
◽  
A.I. Sokolovsky
Keyword(s):  
Plasma Oscillations
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