Subspace density of the first excited state for two harmonically interacting electrons with isotropic harmonic confinement

A. Nagy, I. A. Howard, N. H. March, Zs Jánosfalvi

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The subspace density and pair density at coincidence of the first excited state for two harmonically interacting electrons with antiparallel spins and isotropic harmonic confinement are calculated. It is shown that the total energy is uniquely determined by the value of the pair density at coincidence at r=0. A relationship between the energy and the subspace density at r=0 is derived.

Original languageEnglish
Pages (from-to)347-350
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume335
Issue number5-6
DOIs
Publication statusPublished - Feb 21 2005

Fingerprint

harmonics
excitation
electrons
energy

Keywords

  • Density functional theory
  • Excited states
  • Subspace theory

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Subspace density of the first excited state for two harmonically interacting electrons with isotropic harmonic confinement. / Nagy, A.; Howard, I. A.; March, N. H.; Jánosfalvi, Zs.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 335, No. 5-6, 21.02.2005, p. 347-350.

Research output: Contribution to journalArticle

@article{12a96bdfa6a5473684a51665b42d7871,
title = "Subspace density of the first excited state for two harmonically interacting electrons with isotropic harmonic confinement",
abstract = "The subspace density and pair density at coincidence of the first excited state for two harmonically interacting electrons with antiparallel spins and isotropic harmonic confinement are calculated. It is shown that the total energy is uniquely determined by the value of the pair density at coincidence at r=0. A relationship between the energy and the subspace density at r=0 is derived.",
keywords = "Density functional theory, Excited states, Subspace theory",
author = "A. Nagy and Howard, {I. A.} and March, {N. H.} and Zs J{\'a}nosfalvi",
year = "2005",
month = "2",
day = "21",
doi = "10.1016/j.physleta.2004.11.060",
language = "English",
volume = "335",
pages = "347--350",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "5-6",

}

TY - JOUR

T1 - Subspace density of the first excited state for two harmonically interacting electrons with isotropic harmonic confinement

AU - Nagy, A.

AU - Howard, I. A.

AU - March, N. H.

AU - Jánosfalvi, Zs

PY - 2005/2/21

Y1 - 2005/2/21

N2 - The subspace density and pair density at coincidence of the first excited state for two harmonically interacting electrons with antiparallel spins and isotropic harmonic confinement are calculated. It is shown that the total energy is uniquely determined by the value of the pair density at coincidence at r=0. A relationship between the energy and the subspace density at r=0 is derived.

AB - The subspace density and pair density at coincidence of the first excited state for two harmonically interacting electrons with antiparallel spins and isotropic harmonic confinement are calculated. It is shown that the total energy is uniquely determined by the value of the pair density at coincidence at r=0. A relationship between the energy and the subspace density at r=0 is derived.

KW - Density functional theory

KW - Excited states

KW - Subspace theory

UR - http://www.scopus.com/inward/record.url?scp=12844287642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12844287642&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2004.11.060

DO - 10.1016/j.physleta.2004.11.060

M3 - Article

VL - 335

SP - 347

EP - 350

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 5-6

ER -