Thanks I think I'm on the right track now. So I've done the Fourier transform to get into momentum space and I'm left with this:
\psi(p)=\frac{1}{\sqrt{2\pi\hbar}}\int^{\infty}_{-\infty}\Psi(x,t=0)e^{\tfrac{-ipx}{\hbar}} dx
But (I think) that reduces to...
Homework Statement
A free particle at time t=0 has the Gaussian wave-packet:
\Psi(x,t=0)=Ae^{-\tfrac{x^2}{2\sigma^2}}e^{ik_0x}
(a) What is A?
(b) What is the probability of measuring a momentum in the range between p
and p+dp?
Homework Equations
(a) \int^{\infty}_{-\infty}|\Psi(x,t)}|^2...