  In this work, we present an explanation of the electric charge quantization
based on a semi-classical model of electrostatic fields. We claim that in
electrostatics, an electric charge must be equal to a rational multiple of the
elementary charge of an electron. However, the charge is quantized if the
system has certain boundary conditions that force the wavefunction representing
an electric field to vanish at specific surfaces. Next, we develop the
corresponding model for the electric displacement vector. It is demonstrated
that a number of classical results, e.g. bending of field lines at the
interface of two dielectric media, method of images, etc. are all consistent
with the predictions of this model. We also present the possible form of
Gauss's law or (Poisson's equation), to find the wavefunctions of the field
from a source charge distribution, in this model.
