On the covariant theory of plasma oscillations

1978 ◽  
Vol 23 (17) ◽  
pp. 626-628
Author(s):  
Kwok-Kee Tam ◽  
K. Kuen Tam
Keyword(s):  
Covariant Theory ◽  
Plasma Oscillations

A covariant treatment of relativistic plasma oscillations in the presence of an external magnetic field

1969 ◽  
Vol 47 (10) ◽  
pp. 1057-1060 ◽  
Author(s):  
Kwok-Kee Tam ◽  
John O'hanlon
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Relativistic Plasma ◽  
Covariant Theory ◽  
Plasma Oscillations ◽  
Component Plasma

A covariant theory of plasma oscillations for a many-component plasma in the presence of an external magnetic field is formulated.

A covariant treatment of relativistic plasma oscillations

1968 ◽  
Vol 46 (16) ◽  
pp. 1763-1767 ◽  
Author(s):  
Kwok-Kee Tam
Keyword(s):  
External Field ◽  
Infinite Number ◽  
Relativistic Plasma ◽  
Covariant Theory ◽  
Plasma Oscillations

A covariant theory of plasma oscillations in the absence of an external field is formulated by considering a plasma as the limit of an infinite number of relativistic streams.

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

On the stability of crystal lattices IX. Covariant theory of lattice deformations and the stability of some hexagonal lattices

1942 ◽  
Vol 38 (1) ◽  
pp. 82-99 ◽  
Author(s):  
M. Born
Keyword(s):  
Elastic Constants ◽  
Hexagonal Lattice ◽  
Covariant Theory ◽  
Tensor Calculus ◽  
Crystal Lattices ◽  
New Form ◽  
The Stability ◽  
Central Forces

The theory of lattice deformations is presented in a new form, using the tensor calculus. The case of central forces is worked out in detail, and the results are applied to some simple hexagonal lattices. It is shown that the Bravais hexagonal lattice is unstable but the close-packed hexagonal lattice stable. The elastic constants of this lattice are calculated.

Electrostatic oscillations in cold inhomogeneous plasma I. Differential equation approach

1971 ◽  
Vol 5 (2) ◽  
pp. 239-263 ◽  
Author(s):  
Z. Sedláček
Keyword(s):  
Differential Equation ◽  
Green Function ◽  
Normal Mode Analysis ◽  
Inhomogeneous Plasma ◽  
Mode Analysis ◽  
Complex Frequency ◽  
Plasma Oscillations ◽  
The Laplace Transform ◽  
Collective Oscillations ◽  
The Green Function

Small amplitude electrostatic oscillations in a cold plasma with continuously varying density have been investigated. The problem is the same as that treated by Barston (1964) but instead of his normal-mode analysis we employ the Laplace transform approach to solve the corresponding initial-value problem. We construct the Green function of the differential equation of the problem to show that there are branch-point singularities on the real axis of the complex frequency-plane, which correspond to the singularities of the Barston eigenmodes and which, asymptotically, give rise to non-collective oscillations with position-dependent frequency and damping proportional to negative powers of time. In addition we find an infinity of new singularities (simple poles) of the analytic continuation of the Green function into the lower half of the complex frequency-plane whose position is independent of the spatial co-ordinate so that they represent collective, exponentially damped modes of plasma oscillations. Thus, although there may be no discrete spectrum, in a more general sense a dispersion relation does exist but must be interpreted in the same way as in the case of Landau damping of hot plasma oscillations.

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