# Express electrostatic potential as a Fourier integral

1. Oct 10, 2011

### zheng89120

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. Oct 11, 2011

### vela

Staff Emeritus
Express $\rho(r)$ as a Fourier integral and then substitute that into the integral for calculating the potential.