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Title: Time-dependent internal density functional theory formalism and Kohn-Sham scheme for self-bound systems

Abstract

The stationary internal density functional theory (DFT) formalism and Kohn-Sham scheme are generalized to the time-dependent case. It is proven that, in the time-dependent case, the internal properties of a self-bound system (such as an atomic nuclei or a helium droplet) are all defined by the internal one-body density and the initial state. A time-dependent internal Kohn-Sham scheme is set up as a practical way to compute the internal density. The main difference from the traditional DFT formalism and Kohn-Sham scheme is the inclusion of the center-of-mass correlations in the functional.

Authors:
 [1]
  1. Universite de Toulouse, UPS, Laboratoire de Physique Theorique (IRSAMC), F-31062 Toulouse, France, and CNRS, LPT (IRSAMC), F-31062 Toulouse (France)
Publication Date:
OSTI Identifier:
21296508
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 80; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.80.054614; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CENTER-OF-MASS SYSTEM; CORRELATIONS; DENSITY; DENSITY FUNCTIONAL METHOD; DROPLETS; HELIUM; NUCLEI; TIME DEPENDENCE

Citation Formats

Messud, Jeremie. Time-dependent internal density functional theory formalism and Kohn-Sham scheme for self-bound systems. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.80.054614.
Messud, Jeremie. Time-dependent internal density functional theory formalism and Kohn-Sham scheme for self-bound systems. United States. doi:10.1103/PHYSREVC.80.054614.
Messud, Jeremie. Sun . "Time-dependent internal density functional theory formalism and Kohn-Sham scheme for self-bound systems". United States. doi:10.1103/PHYSREVC.80.054614.
@article{osti_21296508,
title = {Time-dependent internal density functional theory formalism and Kohn-Sham scheme for self-bound systems},
author = {Messud, Jeremie},
abstractNote = {The stationary internal density functional theory (DFT) formalism and Kohn-Sham scheme are generalized to the time-dependent case. It is proven that, in the time-dependent case, the internal properties of a self-bound system (such as an atomic nuclei or a helium droplet) are all defined by the internal one-body density and the initial state. A time-dependent internal Kohn-Sham scheme is set up as a practical way to compute the internal density. The main difference from the traditional DFT formalism and Kohn-Sham scheme is the inclusion of the center-of-mass correlations in the functional.},
doi = {10.1103/PHYSREVC.80.054614},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 80,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 2009},
month = {Sun Nov 15 00:00:00 EST 2009}
}