- #1
atomicpedals
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Homework Statement
Calculate <x> for the Gaussian wave packet [itex]\psi(x)=Ne-(x-x0)/2k2[/itex]
Homework Equations
[itex]\left\langle x \right\rangle = \int dx x|\psi(x)|2[/itex]
The Attempt at a Solution
So I've been reviewing for the up-coming midterm and I've had the painful realization that I'm basically killing myself with basic issues; in this case solving the integral.
[itex]\left\langle x \right\rangle = \int dx x|\psi(x)|2
= \int dx x|Ne-(x-x0)/2k2|2
=N2\int dx x|e-(x-x0)/2k2|2[/itex]
It's at this point that I know there a u substitution to be made (at least I'm pretty sure that's the best way to solve the integral), but I'm not exactly sure for which value? Is there a better way to solve this integral?
Thanks for any pointers!