Exact analytic total energy functional for Hooke's atom generated by local-scaling transformations

Eduardo V. Ludeña, Daniel Gómez, Valentin Karasiev, Pedro Nieto

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

22 Citas (Scopus)


An analytic closed form for the total energy density functional for Hooke's atom - an artificial two-electron system with harmonic electron-nuclear and Coulombic electron-electron interaction terms - has been constructed by means of local-scaling transformations. This is the first time that an exact density functional is obtained for a quantum mechanical many-electron system containing electron correlation. The density-dependent functional advanced in the present work is strictly variational: It yields the exact value of the total energy of Hooke's atom at the exact density and upper bounds for all other densities. Although the functional is not "universal" it contains the density-dependent term ρ5/3 in the kinetic energy expression and an infinite sum of universal terms of the type ρ(1+4)/3, for Z = 0,1, ∞, in the electron-electron energy. In all cases, these density-dependent terms are multiplied by their corresponding enhancement factors F5/3(r) and {Fee(1)(r)} l=0 that contain system-specific information.

Idioma originalInglés
Páginas (desde-hasta)297-307
Número de páginas11
PublicaciónInternational Journal of Quantum Chemistry
EstadoPublicada - 23 jun. 2004
Publicado de forma externa


Profundice en los temas de investigación de 'Exact analytic total energy functional for Hooke's atom generated by local-scaling transformations'. En conjunto forman una huella única.

Citar esto