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Keywords:

  • many-electron systems;
  • monotonic electron density decay;
  • local effective potential

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