Dirac delta
- From: "Zinc Potterman" <zincnews@xxxxxxxxxxxxxxxxx (delete 123's to reply)>
- Date: Tue, 4 Oct 2005 08:48:15 +0000 (UTC)
My book states that the Dirac delta function
delta(x-x') = 1/2pi Integral -inf to +inf [ exp i k(subx) (x-x') dk(subx)
has the value infinity for x=x' and zero for x not = x'.
I performed the integral above to verify for x=x', but can't get to the
second result zero for x not = x'
I get infinity again like this
Considering just integral part
Integral = Integral -inf to +inf [ exp i k(subx) (x-x') dk(subx)
= [1/(i(x-x') [ exp( i k(sub x) (x-x')) ] from - inf to +
inf
= [1/(i(x-x') [ exp(inf) - exp(-inf)] = inf
Can somebody show me second part via the correct integral route.
probably just a stupid late night error on my part.
Zinc
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