Fisher and Shannon information in orbital-free density functional theory

The Euler equation of the orbital-free density functional theory is formulated with the specific Shannon and Fisher information. One of the new forms contains only the specific Shannon information. In spherically symmetric systems, the Euler equation can be formalized with the specific Fisher information only. Both the Fisher information and the length of the local wave vector are descriptors of the spherically symmetric Coulomb systems. (c) 2014 Wiley Periodicals, Inc.