2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29455We present a general approach for the construction of the exact local-energy-density functionals for a uniform N-dimensional electronic system in a magnetic field. For arbitrary dimension, we obtain explicit expressions for the matter, kinetic, and exchange density functionals. In the zero-field limit, we recover the usual N-dimensional Thomas-Fermi theory. As an application of our results, we develop a current-density-functional theory, in the spirit of the Thomas-Fermi-Dirac approximation, for an inhomogeneous many-electron system in a magnetic field.9 pages, RevTeX, 1 eps figure included in the textMesoscale and Nanoscale Physicstext