Now solve the schrödinger equation for the helium atom using the finite element method. add the hartree and exchange – correlation potentials to your program, see equation (-1/2∙d^2/(dr^2 )-2/r+v_h (r)+v_c (r))v(r)=ϵu(r). make an initial guess for the density and iterate to self – consistency. determine the ground state energy and wave function.