Time-dependent Internal DFT formalism and Kohn-Sham scheme

Abstract

We generalize to the time-dependent case the stationary Internal DFT / Kohn-Sham formalism presented in Ref. [14]. We prove that, in the time-dependent case, the internal properties of a self-bound system (as an atomic nuclei) are all defined by the internal one-body density and the initial state. We set-up a time-dependent Internal Kohn-Sham scheme as a practical way to compute the internal density. The main difference with the traditional DFT / Kohn-Sham formalism is the inclusion of the center-of-mass correlations in the functional.

13 pages. To be published in Phys. Rev. C

References in corpus (6)

• On the "Causality Paradox" of Time-Dependent Density Functional Theory
• Intrinsic-Density Functionals
• Density functional theory and Kohn-Sham scheme for self-bound systems
• Density functional theory for self-bound systems
• Existence of a Density Functional for an Intrinsic State
• Center-of-mass motion and cross-channel coupling in time-dependent Hartree-Fock theory

Cited by in corpus (6)

• Microscopic Theory of Nuclear Fission: A Review
• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• Generalization of internal Density Functional Theory and Kohn-Sham scheme to multicomponent systems, and link with traditional DFT
• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• An alternate well-founded way to treat the center-of-mass correlations: use of a local center-of-mass correlations potential
• Local energy density functional for superfluid Fermi gases from effective field theory