Number of electrons in pseudo wavefunction and all electron wavefunction in pseudopotentials
In pseudopotential approach the core electrons are replaced by the pseudopotential. In case of all electron calculation we obtain wavefunction for both core and valence electrons. In case of pseudopotential only the valence electron remains. So when we compare the all- electron and pseudo wavefunction we compare only the valence ones. All the wavefunctions are one electron wavefunction. The charge is basically the norm of the square of the
wavefunction. The condition of charge equivalence between the pseudo and all electron wavefunction is imposed to get correct scattering properties. This condition is known as norm conserving pseudopotential.