|
Chapter |
As
we know, the electromagnetic field energy density is:
(9.1)
Thus
the electron electromagnetic field energy is:
(9.2)
Combine
equation (7.5) and (8.4), thus:
(9.3)
Thus:
(9.4)
As we know:
(9.5)
And also:
(9.6)
(9.7)
Thus:
(9.8)
Thus:
(9.9)
Thus:
(9.10)
As we know, the electron
mass is one of the basic properties of electrons. Where does the electron mass
come from? One of the most popular theories is the electromagnetic origin of
electron mass.
From the above equation (9.10), we get the electron’s electromagnetic energy; let us make an assumption here that the electron’s mass origin is from the electromagnetic field energy, thus:
(9.11)
In
which U is the electron electromagnetic field energy, and 
is the electron mass,
then combine the equation (9.10) and (9.11), we can get
(9.12)
Thus:
(9.13)
And
we know that the Bohr radius is:
(9.14)
Thus:
(9.15)
As we know, the
value of fine structure constant is about:
(9.16)
Thus:
(9.17)
Thus:
(9.18)
Reference
Singularity-Free
Electrodynamics for Point Charges and Dipoles: Classical Model for Electron
Self-Energy and Spin
S. M. Blinder
Eur. J. Phys. 24 (May 2003) 271-275
General relativistic models for the electron
S. M. Blinder
Rept.Math.Phys. 47 (2001) 279-285
About Zitterbewegung and Electron Structure
Waldyr A. Rodrigues, Jayme Vaz, Erasmo Recami, and Giovanni Salesi
Physics Letters B 318 (1993) 623-628
Zitterbewegung and the Electromagnetic Field of the Electron
J.Vaz Jr e W.A.Rodrigues Jr,
Physics Letters B, 319, 203-208, (1993).
M.Pavsic, E.Recami, W.A.Rodrigues Jr, D.G.Maccarrone, F.Raciti e G.Salesi,
Physics Letters B, 318, 481-488, (1993).
Mass and Spin Renormalization in Lorentz Electrodynamics
Walter Appel, Michael K.-H. Kiessling
Annals Phys. 289 (2001) 24-83
An Elementary Account of the Factor of 4/3 in the Electromagnetic Mass
P. Moylan
Am. J. Phys. 63, 818-820 (1995).
The Electromagnetic Mass of a Charged Particle
V.A. Kuligin, G.A. Kuligina, M.V. Korneva
APEIRON Vol. 3 Nr. 1 January 1996
|
What
is the electron spin?
ISBN 0-9743974-9-0 Copyright © 2003 Gengyun Li All rights reserved http://www.electronspin.org |