Velocity Differential Equation for Electrons at Point Throughout the Volume of Material Space Due to Potential Distribution Function

Abstract

Velocity of charge particles is not restricted to be constant at all the points on the volume of material space but rather space-time functions as output each with a nature of different depend upon the nature of input as potential functions presence to the same. This indicates that throughout the space coordinates of different over the volume of material space the velocities so distributed out at any instant along the timeline of positive side, which in correspondent determine the velocity distribution function, are not due to the thermal effect but due to the consideration of potential functions so distributed out for the same. Therefore, based upon the potentials as potential distribution function as input this velocity distribution function as output so find out here with in this paper must not be confused with that of Maxwell’s velocity distribution formula. Here, from the respective differential equation the velocity distribution function, so obtained, for charge particles of material space is over the negative element of sign conventional space only, means for electrons, but not over the positive element of it as this does not satisfy the unique integral factor of one for both of mass and charge unlike electrons.