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Title: 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:
 [1];  [2];  [3];  [4]
  1. Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, H-1521 Budapest (Hungary)
  2. (Spain)
  3. Donostia International Physics Center DIPC, P. Manuel de Lardizabal 4, E-20018 San Sebastian (Spain)
  4. (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}
}