# Metric measures of interparticle interaction in an exactly solvable two-electron model atom

## Abstract

The exact ground-state solutions for the model of two particles in a confining harmonic oscillator potential interacting through a repulsive harmonic oscillator force are used from the standpoint of geometric distances [Phys. Rev. Lett. 106, 050401 (2011).] between wave functions and densities. The distances from the noninteracting reference state are calculated at a specified confinement by increasing the coupling of the interparticle interaction. Based on the analytic expressions for coupling-dependent geometric measures, a discussion of the Hohenberg-Kohn mapping is given.

- Authors:

- Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, H-1521 Budapest (Hungary)
- (Spain)
- Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastian (Spain)
- (CSIC-UPV/EHU)-MPC, P. Manuel de Lardizabal 3, E-20018 San Sebastian (Spain)

- Publication Date:

- OSTI Identifier:
- 22068701

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. A

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ATOMS; AUGMENTATION; CONFINEMENT; COUPLING; DENSITY; DISTANCE; ELECTRONS; EXACT SOLUTIONS; GEOMETRY; GROUND STATES; HARMONIC OSCILLATORS; INTERACTIONS; MAPPING; MATHEMATICAL SOLUTIONS; METRICS; POTENTIALS; WAVE FUNCTIONS

### Citation Formats

```
Nagy, I., Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastian, Aldazabal, I., and Centro de Fisica de Materiales.
```*Metric measures of interparticle interaction in an exactly solvable two-electron model atom*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.032516.

```
Nagy, I., Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastian, Aldazabal, I., & Centro de Fisica de Materiales.
```*Metric measures of interparticle interaction in an exactly solvable two-electron model atom*. United States. doi:10.1103/PHYSREVA.84.032516.

```
Nagy, I., Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastian, Aldazabal, I., and Centro de Fisica de Materiales. Thu .
"Metric measures of interparticle interaction in an exactly solvable two-electron model atom". United States. doi:10.1103/PHYSREVA.84.032516.
```

```
@article{osti_22068701,
```

title = {Metric measures of interparticle interaction in an exactly solvable two-electron model atom},

author = {Nagy, I. and Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastian and Aldazabal, I. and Centro de Fisica de Materiales},

abstractNote = {The exact ground-state solutions for the model of two particles in a confining harmonic oscillator potential interacting through a repulsive harmonic oscillator force are used from the standpoint of geometric distances [Phys. Rev. Lett. 106, 050401 (2011).] between wave functions and densities. The distances from the noninteracting reference state are calculated at a specified confinement by increasing the coupling of the interparticle interaction. Based on the analytic expressions for coupling-dependent geometric measures, a discussion of the Hohenberg-Kohn mapping is given.},

doi = {10.1103/PHYSREVA.84.032516},

journal = {Physical Review. A},

issn = {1050-2947},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}

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