Oscillations and waves in anisotropic plasmas
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We have carried out the resolvent integration technique in its application to longitudinal plasma waves and oscillations and transverse plasma oscillations. It was seen that the operators treated have continuous spectra consisting of the real line as well as point spectra associated with the zeros of the appropriate plasma dispersion function. Out treatment of the dispersion function with a more general, non-even equibrium distribution function, F (hence valid for anisotropic plasmas), has led to the possibility of more plasma modes than had previously been considered. The techniques we employed make it much easier to calculate the expansion coefficients for these plasma modes associated with both real and complex zeros of the appropriate plasma dispersion function. In fact, our computation of theÂ·expansion coefficients for plasma modes corresponding to simple real zeros of the longitudinal, fixed wave number plasma dispersion function replaces previous such calculations based on the van Kampen-Case generalized eigenfunction expansion technique which were found to be in error.
- Doctoral Dissertations