Density functional theory on phase space
Guardado en:
| Autores: | , , |
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| Formato: | artículo original |
| Fecha de Publicación: | 2012 |
| Descripción: | Forty-five years after the point de départ [Hohenberg and Kohn, Phys. Rev. 1964, B864, 136] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, the precise form of the energy functional in terms of the electron density still eludes us - and possibly will do so forever [Schuch and Verstraete, Nat. Phys. 2009, 5, 732]. In what follows we examine a formulation in the same spirit with phase space variables. The validity of Hohenberg-Kohn-Levy-type theorems on phase space is recalled. We study the representability problem for reduced Wigner functions, and proceed to analyze properties of the new functional. Along the way, new results on states in the phase space formalism of quantum mechanics are established. Natural Wigner orbital theory is developed in depth, with the final aim of constructing accurate correlation-exchange functionals on phase space. A new proof of the overbinding property of the Müller functional is given. This exact theory supplies its home at long last to that illustrious ancestor, the Thomas-Fermi model. |
| País: | Kérwá |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/90146 |
| Acceso en línea: | https://onlinelibrary.wiley.com/doi/10.1002/qua.23101 https://hdl.handle.net/10669/90146 |
| Palabra clave: | QUANTUM THEORY CONTINUOUS DISTRIBUTION PHYSICS MATHEMATICS |