An alternate well-founded way to treat the center-of-mass correlations: use of a local center-of-mass correlations potential

Abstract

The recently developed "internal" Density Functional Theory provides an existence theorem for a local potential that contains the center-of-mass correlations effects. The knowledge of the corresponding energy functional would provide a much cheaper way than projection techniques to treat these correlations. The aim of this article is to construct such a functional. We propose a well-founded method, suitable for Fermions as well as for Bosons, which does not require any free parameters.

17 pages, 4 figures, 4 tables, 36 references

References in corpus (8)

• Intrinsic-Density Functionals
• Density functional theory and Kohn-Sham scheme for self-bound systems
• Density functional theory for self-bound systems
• Center-of-mass motion and cross-channel coupling in time-dependent Hartree-Fock theory
• Generalization of internal Density Functional Theory and Kohn-Sham scheme to multicomponent systems, and link with traditional DFT
• Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods
• The Generalized SIC-OEP formalism and the Generalized SIC-Slater approximation (stationary and time-dependent cases)
• Time-dependent Internal DFT formalism and Kohn-Sham scheme

Cited by in corpus (7)

• A Minimal Nuclear Energy Density Functional
• From homogeneous matter to finite nuclei: Role of the effective mass
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Exact restoration of Galilei invariance in density functional calculations with quantum Monte Carlo
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• A Many-Body Density Energy Functional
• Exposing minimal composition of Kohn-Sham theory and its extendability