1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Express electrostatic potential as a Fourier integral

  1. Oct 10, 2011 #1
    1. The problem statement, all variables and given/known data

    The charge distribution of an atomic nucleus is modelled by the Gaussian distribution:

    p(r) = A exp(-r2/a2)

    Obtain the Fourier transform of p(r), and use the result to obtin an expression for the potential as a Fourier integral.

    2. Relevant equations

    Fourier transform and electrostatics

    3. The attempt at a solution

    I found the fourier transform to be A*pi3/2*a3 exp(-1/4*a2k2)

    How would you obtain the electrostatic potential (I suppose V) as a Fourier integral?
  2. jcsd
  3. Oct 11, 2011 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Express [itex]\rho(r)[/itex] as a Fourier integral and then substitute that into the integral for calculating the potential.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook