I am having bit of a problem proving Eq. (0.2):(adsbygoogle = window.adsbygoogle || []).push({});

[tex](0.1) \text{ } G_{\omega}(t-t^\prime)=\theta(t-t^\prime) \frac{e^{-i\omega(t-t^\prime)}}{2\omega}+\theta(t^\prime-t) \frac{e^{i\omega(t-t^\prime)}}{2\omega}[/tex]

[tex] (0.2) \text { }\left (-\partial^2_{t}-\omega^2 \right ) G_\omega (t-t^\prime)=i\delta(t-t^\prime)[/tex]

The problem is dealing with the first and second order derivatives of the theta function in Eq. (0.1); they don't match the right hand side of (0.2).

MODs: It's not a homework problem.

**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!

# Homework Help: Simple act of taking derivatives, I suppose

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