Re: fourier transform of a charge distribution

qmagick_at_yahoo.com
Date: 01/25/05


Date: Tue, 25 Jan 2005 16:34:34 +0000 (UTC)

rancid moth wrote:

> then what would the function p(k,t) represent as it progressed in
time?

Near as I can figure out the function p(k,t) represents for a
particular
time t0 how strongly the function p(x,t0) = f(x) is like exp(ikx).
If f(x) is alot like exp(ikx) then |f(k)| will have a high value. If
f(x) is exactly like exp(ikx) then |f(k)| will be infinite. If it is
not
alike at all then the value will be 0. Alike has to do with what
frequency
f(x) modulates with compared to exp(ikx). I am using the fourier
transform

p[k,t] := Integrate[p[x,t] exp[-ikx], {x, -Infinity, Infinity}]

If you are using a different transform I hope you can translate the
meaning
accordingly. The notation above is Mathamaticaese...
Yours,
         -- NPC


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