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## Homework Statement

http://www.whoisntdavidrinaldi.com/Untitled.png [Broken]

## Homework Equations

## The Attempt at a Solution

So I had to use this initial momentum and multiply it by a plane wave (sure you are aware of the exp[i(px+p^2(t)/2m)\hbar] )

setting p-p_0 to q and then coupling all terms together to get an integral of the form where one could complete the square the problem here is the extra q, which seems to force me to to integration by parts. The problem is I can set u=q but if dv is my exponential term what is v? I've never seen how to

\int_{-\infty}^\infty dq(q)exp[-q^2(\frac{\alpha^2}{2}+\frac{it}{2m\hbar})+ q(\frac{ix}{\hbar}+\frac{ipt}{2m\hbar})

crud. I'm not sure how to post latex here. I guess this is my second question. To see the above the link is here www.whoisntdavidrinaldi.com\help1.pdf [Broken]

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