Sufficient condition for monotonic electron density decay in many‐electron systems

Abstract For one‐electron systems, if the external potential increases monotonically from the nucleus the ground‐state electron density is monotonic. For two‐electron densities, similar results hold for the Kohn–Sham potential. Similarly, for many‐electron systems monotonicity of the sum of the Kohn–Sham potentials and “Pauli potential” (from the correction to the Weisacker kinetic energy) is sufficient for monotonic decay of the electron density. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003