  We have been calculated the ground state charge densities and energies of
noble gas atoms through a single time dependent quantum fluid
Schr$\ddot{o}$dinger equation. By using imaginary - time, the
Schr$\ddot{o}$dinger equation has been transformed into diffusion equation.
This equation numerically solved through discrete variable representation (DVR)
method. Instead of the usual finite difference method the radial coordinate is
discretized using the discrete variable representation constructed from Coulomb
wave functions. Our calculations were performed using the Mathematica 7.0
programm.
