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Density Functional Theory for a Confined Fermi System with Short-Range Interaction

S. J. Puglia·A. Bhattacharyya·R. J. Furnstahl
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Abstract

Effective field theory (EFT) methods are applied to density functional theory (DFT) as part of a program to systematically go beyond mean-field approaches to medium and heavy nuclei. A system of fermions with short-range, natural interactions and an external confining potential (e.g., fermionic atoms in an optical trap) serves as a laboratory for studying DFT/EFT. An effective action formalism leads to a Kohn-Sham DFT by applying an inversion method order-by-order in the EFT expansion parameter. Representative results showing the convergence of Kohn-Sham calculations at zero temperature in the local density approximation (LDA) are compared to Thomas-Fermi calculations and to power-counting estimates.

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S. J. Puglia, A. Bhattacharyya, R. J. Furnstahl. 2002-12-17. Density Functional Theory for a Confined Fermi System with Short-Range Interaction. https://doi.org/10.1016/s0375-9474(03)01161-8

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