# 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:

- 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}

}

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