zitterbewegung

We experience electrons as highly local points when we force high energy interactions. This I've heard characterized at maybe 10^-21 meters, and such interactions have very short time spans. On the other hand we have the uncertainty (at longer time frames?) of position and momentum of the quantum state called in this case zitterbewegung. This shows the intimacy of relation between the "particle state" and the zero-point quantum field. It is not a coincidence that the product of momentum characteristic of an electron orbit, multiplied by characteristic atom size, is about equal to Planck's constant. My primary question here is, does the uncertainty produce an average spread of inhomogeneity (charge) such as I modelled as an falling-off exponent? I simply chose that as a mathematically reasonable expression of this idea. It is certainly also true that the Schroedinger solution for the hydrogen atom has a ground-state wave function: [math]\Psi_1(\rho)=e^{-\rho}[/math].