Equation for the electric potential in the moving inhomogeneous ionospheric plasma

Mathematics

Scientific paper

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Conductivity, Electric Potential, Ionospheric Drift, Maxwell Equation, Space Plasmas, Operators (Mathematics), Plasma Dynamics, Tensors, Vectors (Mathematics)

Scientific paper

A new method for examining the Maxwell equations is proposed: a complete system of projection operators is constructed which makes possible the invariant expansion of any vector into alpha components. The derived formalism is used to provide a convenient representation of the conductivity tensor in a magnetoplasma. A scalar equation for the electric potential is obtained which is equivalent to the complete system of Maxwell equations for monochromatic fields in a moving magnetoplasma. A general solution is obtained to the problem of the generation of fields in a homogeneous magnetoplasma by a plane acoustic pulse.

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