- #1

Matterwave

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[tex]\int_0^{k_F} k^2J_0(k|\vec{r}'-\vec{r}|)dk[/tex]

The J is the 0th Bessel function of the 1st kind. I tried this on Wolfram alpha, and it gave me the integral in terms of other Bessel functions and Struve functions. I don't think my professor would have given me an integral that had such an elaborate solution (especially since I'm asked to graph this). Am I missing something basic here? Is there an easy way to evaluate this integral? If not, I probably did something wrong somewhere earlier.