In a book on QM are listed a few properties of the delta function, one of which is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] x \delta^{-1}(x) = - \delta(x) [/tex]

I can't figure out how to interpret that? Putting the statement in integral form isn't particularily enlightening looking:

[tex]

f(x) = \int f(x-x') \delta(x') dx' =

\int -x' \delta^{-1}(x') f(x - x') dx'

[/tex]

any hint what this property is about or how one would show it?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Inverse of a delta function.

**Physics Forums | Science Articles, Homework Help, Discussion**