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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:
(2.1)
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.
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What
is the electron spin?
ISBN 0-9743974-9-0 Copyright © 2003 Gengyun Li All rights reserved http://www.electronspin.org |