The Kinetic Energy Density in Kohn-Sham Density Functional Theory
| dc.creator | Bhattacharyya, Anirban | |
| dc.creator | Furnstahl, R. J. | |
| dc.date | 2004-08-05 | |
| dc.date | 2004-10-11 | |
| dc.date.accessioned | 2026-07-07T06:33:24Z | |
| dc.date.available | 2026-07-07T06:33:24Z | |
| dc.description | This work continues a program to systematically generalize the Skyrme Hartree-Fock method for medium and heavy nuclei by applying effective field theory (EFT) methods to Kohn-Sham density functional theory (DFT). When conventional Kohn-Sham DFT for Coulomb systems is extended beyond the local density approximation, the kinetic energy density tau is sometimes included in energy functionals in addition to the fermion density. However, a local (semi-classical) expansion of tau is used to write the energy as a functional of the density alone, in contrast to the Skyrme approach. The difference is manifested in different single-particle equations, which in the Skyrme case include a spatially varying effective mass. Here we show how to generalize the EFT framework for DFT derived previously to reconcile these approaches. A dilute gas of fermions with short-range interactions confined by an external potential serves as a model system for comparisons and for testing power-counting estimates of new contributions to the energy functional. | |
| dc.description | 27 pages, 8 figures, some corrections and clarifications | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0408014 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0408014 | |
| dc.identifier | Nucl.Phys. A747 (2005) 268-294 | |
| dc.identifier | doi:10.1016/j.nuclphysa.2004.10.008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99184 | |
| dc.subject | Nuclear Theory | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | The Kinetic Energy Density in Kohn-Sham Density Functional Theory | |
| dc.type | text |