Given:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x)=\delta(x-a)[/tex]

Other than the standard definitions where f(x) equals zero everywhere except at a, where it's infinity, and that:

[tex]\int_{-\infty}^{\infty} g(x)\delta(x-a)\,dx=g(a)[/tex]

Is there some kind of other definition involving exponentials, like:

[tex]\int e^{ix(k'-k)}d^3x=\delta^3(k'-k)[/tex]

I remember learning something about this, but can't find a proof of it in any textbook or online at the moment, and I don't trust my memory enough to know if this is precise. Any thoughts?

**Physics Forums - The Fusion of Science and Community**

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!

# Dirac Delta Function - unfamiliar definition

Loading...

Similar Threads for Dirac Delta Function | Date |
---|---|

I Lebesgue Integral of Dirac Delta "function" | Nov 17, 2017 |

Dirac-delta function in spherical polar coordinates | Oct 7, 2017 |

I Understanding the Dirac Delta function | May 28, 2017 |

I Delta function in 2D | Jan 27, 2017 |

**Physics Forums - The Fusion of Science and Community**