- #1
liorda
- 28
- 0
Homework Statement
My wavefunction is [tex]\psi (r, \theta, \phi )=N cos(\theta) e^{-(r/R_0)^2}[/tex].
I need to calculate [tex]<p_r>[/tex] and [tex]\Delta p_r[/tex] where [tex]p_r[/tex] is the radial momentum.
Homework Equations
I think i know [tex]p_r=\frac{\hbar}{i} \left( \frac{d}{dr}+\frac{1}{r} \right) [/tex].
The Attempt at a Solution
When I try to calculate the observation value I got infinity (the integral does not seem to converge):
[tex]<\psi | p_r | \psi > = \int_0^{2 \pi}d\phi \int_0^\pi d\theta \int_0^{\infty}dr [\psi^\star p_r \psi] [/tex]
Are the limits for the integral correct? What am I doing wrong? :(
thank.