(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Calculate <x> for the Gaussian wave packet [itex]\psi(x)=Ne^{-(x-x0)/2k2}[/itex]

2. Relevant equations

[itex]\left\langle x \right\rangle = \int dx x|\psi(x)|^{2}[/itex]

3. 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}

=N^{2}\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!

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# Homework Help: Expectation Value for Gaussian Wave Packet.

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