title: Comparison between the vorticity expansion approximation and the local density approximation of the current-density functional theory from the viewpoint of sum rules.
abstract: We compare the vorticity expansion approximation (VEA) with the local density approximation (LDA) of the current-density functional theory from the viewpoint of sum rules. The VEA formulae satisfy all sum rules which are derived from uniform and nonuniform coordinate scaling properties, while the LDA formulae do not satisfy at least about a third of the sum rules. The validity of the VEA formula is thus confirmed successfully.
authors.affiliation: Graduate School of Advanced Sciences of Matter, Hiroshima University, Higashi Hiroshima 739-8530, Japan.
authors.forename: K
authors.initials: K
authors.lastname: Higuchi
authors.forename: M
authors.initials: M
authors.lastname: Higuchi