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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


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    Express [itex]\rho(r)[/itex] as a Fourier integral and then substitute that into the integral for calculating the potential.
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