@article{oai:soar-ir.repo.nii.ac.jp:00011784,
 author = {Higuchi,  M and Higuchi,  K},
 issue = {19},
 journal = {PHYSICAL REVIEW B},
 month = {May},
 note = {The exact expression for the exchange-correlation energy functional E-xc[rho,j(p)] of the current-density functional theory (CDFT) is derived by means of the coupling-constant integration technique. It contains the coupling-constant-averaged pair correlation function, which is a functional of the electron density rho(r) and paramagnetic current density j(p)(r). On the basis of this expression, the local density approximation and its modifications for E-xc[rho,j(p)] are proposed within the CDFT. In addition, we present sum rules and bounds on E-xc[rho,j(p)] by considering the behaviors of the basic variables and E-xc[rho,j(p)] under the various types of the nonuniform coordinate scaling of electrons. They are useful in estimating the validity of the approximate forms of E-xc[rho,j(p)] proposed., Article, PHYSICAL REVIEW B. 65(19):195122 (2002)},
 title = {Sum rules and bounds on the exchange and correlation energy functional of current-density functional theory},
 volume = {65},
 year = {2001}
}