The plasma which is analyzed is described by the linearized electron-fluid equations, and source terms are included. Anisotropic effects which are caused by the presence of an externally applied constant axial magnetic field are included in this analysis. It is shown that a set of three potentials can be introduced, provided a three-by-three matrix can be diagonalized. For the model without the magnetic field this n:tatrix is diagonalized. Two of the resulting potentials are then shown to be scalar multiples of the Hertzian potentials for the electromagnetic part of the equations and the re· maining potential is a scalar multiple of the pressure. A brief outline is included to show how 2 + n potentials could be introduced for the anisotropic multiftuid model.
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