- #1

- 25

- 0

[tex]\int_0^\infty \frac{k \sin(kr)}{\sqrt{1+v^2(k-k_F)^2}}dk[/tex]

Let's assume that v k

_{F}>> 1, so that the the oscillating piece at large k doesn't contribute much uncertainty. Ideas? Thus far, Mathematica has failed me, though I have been able to generate some numerical solutions. Is there some way to take advantage of the fact that the integrand is peaked at k

_{F}?