Chapter |

We no longer regard the
electron as a point-like particle. The electron has an internal structure, and the
electric charge inside the electron has continuum distribution.

Here is one of our
most basic assumptions about the electron; the electric charge distribution
inside of the electron has the following equation:

We
use the
spherical polar coordinates in our book,
in which r is the radial coordinate,_{} is the polar angle, e is the electric charge of the
electron, _{} is the electron radius constant.

By
integrating the electric charge density equation (2.1), we can find the volume
electric charge:

_{} (2.2)

In
which _{}, thus:

_{} (2.3)

_{} (2.4)

_{} (2.5)

_{} (2.6)

The
equation (2.6) is the electric charge space distribution equation.

From equation (2.6), we find out that:

When _{}, therefore:

_{} (2.7)

As we can see, the
electric charge distribution is a kind of** cumulative gamma distribution [B]**

Equation
(2.7) is the electric charge equation within the sphere of radius r.

When _{}, thus:

_{} (2.8)

Thus we can see that
the electron as a whole has one unit negative electric charge e.

What
is the electron spin?
ISBN 0-9743974-9-0 Copyright © 2003 Gengyun Li All rights reserved http://www.electronspin.org |