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 Be the first pioneers to continue the Astronomy Discussions at our new Astronomy meeting place...The Space and Astronomy Agora Again, You Are A Complete Idiot!! Forum List | Follow Ups | Post Message | Back to Thread Topics | In Response ToPosted by Richard D. Stafford, Ph.D. on July 25, 2002 00:20:27 UTC

Anytime P is zero, F can take on any value desired and FP may still be zero, as any number times zero is zero!

The Dirac delta function is defined via a limiting procedure. Some function is defined such that the integral over the function is always unity. Then the limit is taken as the non-zero range of the function goes to zero. Yes, the Dirac delta function then goes to infinity at zero but this is rather immaterial as the critical issue in the definition is that the integral across zero is unity.

The definition of something going to infinity in the limit is that no matter how large a number is picked, there exists a value for the limiting parameter which will yield a larger number.

It follows that the product FP may be analyzed in exactly the same manner. If P is zero then FP is zero for any intermediate step in the limiting process. If a function always evaluates to zero during the limiting process, then there exists no path which will yield FP not equal zero in the limit.

It follows that F can contain a collection of delta functions which are not zero and still yield zero for FP. Again, this is common to many problems involving the Dirac delta function and not at all original with me. Any advanced student of mathematical physics would be quite familiar with it.

If you had any familiarity with high level mathematical physics, you would be well aware of that analysis: ergo, you have either never studied advanced physics or you didn't pay any more attention to your teachers than you pay to what I have written.

Either start using the brains god gave you or go away!