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Volume 2 - LENR-CANR

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For a system with N charge Q of m mass within a V volume the plasma frequency can be<br />

written as:<br />

Qe<br />

k p <br />

m<br />

N<br />

V<br />

(1)<br />

Introducing the dimensional variable t we can rewrite the above equations as follows:<br />

<br />

<br />

<br />

1 * <br />

<br />

<br />

n ( )<br />

n kr<br />

kra<br />

kr<br />

kra<br />

n <br />

n<br />

( )<br />

2<br />

<br />

k <br />

nr<br />

p<br />

p<br />

1<br />

kr i kr mkr<br />

2<br />

Defining the state as:<br />

i *<br />

*<br />

kr<br />

n a n<br />

<br />

n ( t)<br />

<br />

n(<br />

)<br />

2 <br />

nn<br />

(3)<br />

<br />

( ) n<br />

n<br />

n<br />

and the e.m. field amplitude as:<br />

<br />

<br />

A d k<br />

kr<br />

kr<br />

<br />

3 (5)<br />

8<br />

r<br />

we can rewrite as follows:<br />

<br />

<br />

t<br />

2 <br />

Aa A a<br />

3<br />

(6)<br />

i <br />

A A imA<br />

<br />

a <br />

<br />

<br />

2<br />

2<br />

3<br />

(7)<br />

If we only concentrate on a short time dynamics, we can write:<br />

( 0)<br />

0<br />

(8)<br />

then, creating a difference in the (6) and using the (7) with 0 , we can easily obtain:<br />

i 2 <br />

<br />

A<br />

<br />

j A<br />

<br />

j <br />

0 a j,<br />

al<br />

0<br />

2 3 <br />

(9)<br />

2 <br />

Al <br />

Aj 3 <br />

(10)<br />

This has the same form of the equations of the coherence domains as the case in which:<br />

<br />

<br />

0<br />

0<br />

2 2<br />

g<br />

<br />

<br />

<br />

<br />

<br />

3 <br />

557<br />

(2)<br />

(4)

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