Hi, I wish to get position operator in momentum space using Fourier transformation, if I simply start from here,
$$ <x>=\int_{-\infty}^{\infty} dx \Psi^* x \Psi $$
I could do the same with the momentum operator, because I had a derivative acting on |psi there, but in this case, How may I get...
Ah great, thank you very much, I almost got it on the track now, this is
$$ \int_{0}^{\infty} x^3 e^{-(n+1)x} dx = 6 (n+1)^{-4}$$
can you just tell me a little about how to evaluate the summation of $$\sum \frac{1}{(n+1)^4}$$ though, I think I forgot this evaluation.
thanks in advance
Homework Statement
HI people,
I was trying to derive the stefan-boltzman law from the planc's formula, I kind of got stuck with an integral
Homework Equations
$$ \int_{0}^{\infty} \frac{x^3}{e^x -1} dx $$
The Attempt at a Solution
I tried simplifying it with
$$ \int_{0}^{\infty} x^3...