Complex sentence: The delocalized and localized orbitals provide completely equivalent descriptions of the ground state, since the total wavefunction for all electrons is a Slater determinant, which is unchanged by the transformation of the orbitals.
Split into simpler sentences: The delocalized and localized orbitals are generally described as providing completely equivalent descriptions of the ground state. This is because the total wavefunction for all electrons is a Slater determinant, which is unchanged by the transformation of the orbitals.