### Mathematical transform of traveling-wave equations and phase aspects of quantum interaction.

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This paper presents a symbolic test-function defined on a restricted interval for describing the electromagnetic interaction. An exponential function with the exponent represented by the inverse of a differential operator is put in correspondence with a test function defined on a restricted interval. The lateral limits of this function at the edge of this interval are either zero (when the variable is considered in closer proximity inside this interval) or infinity (when the variable is considered...

This study presents some basic aspects of electrostatic forces based on wave-particle interaction described by Lienard-Wiechert potentials. Using the scalar and vector potentials the force obtained for a certain point in space is analyzed. Dynamical aspects connected to mass dependence of velocity are obtained. Hypothetical possibilities corresponding to the case when velocity exceeds light speed are also presented.

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