Useful Operator in Plasma Kinetic Theory

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Abstract
An operator which facilitates the derivation of the plasma kinetic equation is introduced and discussed. The operator determines the first integral of the pair correlation function without the necessity for knowledge of the pair correlation function itself. To break through the lengthy algebraic effort which is usually encountered in solving the truncated BBGKY hierarchy equations, the present operator method is found to be far superior to the singular integral equation technique. The mathematical simplification which can be gained from the use of this operator is demostrated by several examples.

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