Explore BrainMass

Explore BrainMass

    Integration using Spherical Bessel Function

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Given a spherical Bessel function J1(w) = (1/w^2)*(Sin(w)-w*Cos(w))

    Show that

    (pi)*x/2, -1<x<1
    integral of J1(w)*Sin(wx)dw from 0 to infinity =
    0, |x|>1

    Need a through explanation!!

    © BrainMass Inc. brainmass.com March 4, 2021, 8:15 pm ad1c9bdddf

    Solution Preview

    Hi there

    Here is the solution in two formats as usual. I also used ...

    Solution Summary

    Integration using Spherical Bessel Function is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.