## Stationary wave theory for relativistic plasma oscillations |

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### Contents

STATIONARY WAVE SOLUTIONS IN | 4 |

SUPERPOSITION OF STATIONARY WAVES | 10 |

TIMEEVOLUTION OF AN INITIAL DISTURBANCE | 19 |

1 other sections not shown

### Common terms and phrases

amplitude angular frequency arbitrary initial Boltzmann equation Buneman C+(s Cauchy integrals Clemmow and Willson Clemmow-Willson1 s equation Colorado Under Contract configuration space continuous spectrum continuum from kc critical value CST-7283 Supported damped waves diagram for relativistic dispersion relation electric field electron exp(-ik st exp(ikz formal dispersion equation Fourier component frequency spectrum genuine plasma waves Harry S. C. Wang Holder condition imck initial conditions initial disturbance initial value problem isolated points Jp-s cr Kampen's technique Kampen's theory kc to kc nonrelativistic theory Nyquist criterion Nyquist diagram oo oo imc oo oo oo OSCILLATIONS by Harry particle velocity perturbation phase velocity Plemelj formulae principal value real axis Related to I. G. Y. RELATIVISTIC PLASMA OSCILLATIONS relativistic theory s-crj singular integral equation stationary solutions STATIONARY WAVE THEORY superposition of stationary THEORY FOR RELATIVISTIC theory of plasma undamped variable velocity of light velocity space wave number Willson's formal dispersion Z-plane