Turn up the AC
My laptop is really heating up now, and I think its fans have gone into second gear trying to calculate a very nice looking integral. I’m sure if I were clever, it’d be fairly easy to do by hand. But I’m not, so it isn’t.
In ~Mathematica Lingo:
Integral[Exp[[ImaginaryI] k.u] Exp[-m Abs[u]]/Abs[u], {u, all space}] (u, k 3-vectors)
(a 3D Fourier transform of Exp[-m Abs[u]]/Abs[u])
It’s for my Relativistic Quantum problem set. The problem set is late. Late because I’ve been spending all my time TAing Ph3.
I hate Ph3. It’s a huge pain in my ass; it eats away all my time and most of my will to live. I have to meet at least six times a week for this class. Six. And it’s a mechanics/circuits lab; I don’t even have access to any liquid nitrogen to cool down my currently-in-the-blackbody-domain laptop.
I wonder, is stress induced brain hemorrhaging grounds for collecting worker’s comp?
[tex]\int\limits_\infty \mathrm{e}^{\mathrm{i} \mathbf{k}\cdot\mathbf{u}} \dfrac{\mathrm{e}^{-m |\mathbf{u}|}}{|\mathbf{u}|}\,\mathrm{d}^3\mathbf{u}[/tex]
So it turns out it really isn’t that hard. I was making it much more complicated than it needed to be. Oh well.