Chapter
15

The conservation of energy

 

 

The conservation of energy is one of the most basic physics laws, for the electromagnetic field, the energy conservation equation is as follows:

 

(15.1)

 

In which is the mass density, is the field velocity.

The mass density and energy density have the following relationship:

 

 

In which u is the electromagnetic field energy density.

 

From equation (14.15) and (14.16), we have:

 

(15.2)

 

And

 

(15.3)

 

Thus:

 

(15.4)

 

And

 

(15.5)

 

Thus:

 

(15.6)

 

And

 

(15.7)

 

Combine (15.6) and (15.7), thus:

 

(15.8)

 

Let us assume that the electromagnetic energy is conserved, therefore, we have:

 

(15.9)

 

Thus:

 

(15.10)

 

Thus, we have:

 

(15.11)

 

As we know:

 

(15.12)

 

(15.13)

 

Let us define:

 

(15.14)

 

(15.15)

 

From the electromagnetic field energy conservation equation, then we can get the following equation:

 

(15.16)

 

Then we can rewrite the electromagnetic field as follows:


(15.17)

 

(15.18)

 

(15.19)

 

(15.20)

 

(15.21)

 

(15.22)

 

 


What is the electron spin?
ISBN 0-9743974-9-0
Copyright 2003
Gengyun Li
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