Formulation of <i>N</i>- and <i>v</i>-representable density-functional theory. II. Spin-dependent systems

Eugene S. Kryachko; Eduardo V. Ludea

doi:10.1103/PhysRevA.43.2194

Formulation of N- and v-representable density-functional theory. II. Spin-dependent systems

Eugene S. Kryachko and Eduardo V. Ludea

Phys. Rev. A 43, 2194 – Published 1 March 1991

Abstract

The local-scaling transformation version of density-functional theory is extended to the case of spin-dependent densities. It is shown that, from the spin-dependent variational principle, there ensue spin-coupled Euler-Lagrange equations for the densities. The connection between the locally scaled external potential and the spin-dependent density is discussed.