Momentum space calculations on the He atom

Mireille Defranceschi; Joseph Delhalle

doi:10.1088/0143-0807/11/3/008

Momentum space calculations on the He atom

Mireille Defranceschi, Joseph Delhalle

Unite de recherche en physiologie moleculaire

Résultats de recherche: Contribution à un journal/une revue › Article

Résumé

The momentum representation of the restricted Hartree-Fock (double occupancy) equation for the helium atom is derived. The integrals occurring in the case of the
helium ground-state orbital approximated by a single 1s Slater type atomic function are evaluated using the Fourier transform method to illustrate its convenience. Directions are given how to proceed to carry out in momentum space a full numerical evaluation of the ground-state Hartree-Fock wavefunction of atomic helium.

langue originale	Anglais
Pages (de - à)	172-178
Nombre de pages	7
journal	European Journal of Physics
Volume	11
Les DOIs	https://doi.org/10.1088/0143-0807/11/3/008
Etat de la publication	Publié - 1990

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10.1088/0143-0807/11/3/008

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@article{4adfdd13d4f348e0bf8bb90c0897b904,

title = "Momentum space calculations on the He atom",

abstract = "The momentum representation of the restricted Hartree-Fock (double occupancy) equation for the helium atom is derived. The integrals occurring in the case of thehelium ground-state orbital approximated by a single 1s Slater type atomic function are evaluated using the Fourier transform method to illustrate its convenience. Directions are given how to proceed to carry out in momentum space a full numerical evaluation of the ground-state Hartree-Fock wavefunction of atomic helium.",

author = "Mireille Defranceschi and Joseph Delhalle",

year = "1990",

doi = "10.1088/0143-0807/11/3/008",

language = "English",

volume = "11",

pages = "172--178",

journal = "European Journal of Physics",

issn = "0143-0807",

publisher = "IOP Publishing Ltd.",

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TY - JOUR

T1 - Momentum space calculations on the He atom

AU - Defranceschi, Mireille

AU - Delhalle, Joseph

PY - 1990

Y1 - 1990

N2 - The momentum representation of the restricted Hartree-Fock (double occupancy) equation for the helium atom is derived. The integrals occurring in the case of thehelium ground-state orbital approximated by a single 1s Slater type atomic function are evaluated using the Fourier transform method to illustrate its convenience. Directions are given how to proceed to carry out in momentum space a full numerical evaluation of the ground-state Hartree-Fock wavefunction of atomic helium.

AB - The momentum representation of the restricted Hartree-Fock (double occupancy) equation for the helium atom is derived. The integrals occurring in the case of thehelium ground-state orbital approximated by a single 1s Slater type atomic function are evaluated using the Fourier transform method to illustrate its convenience. Directions are given how to proceed to carry out in momentum space a full numerical evaluation of the ground-state Hartree-Fock wavefunction of atomic helium.

U2 - 10.1088/0143-0807/11/3/008

DO - 10.1088/0143-0807/11/3/008

M3 - Article

SN - 0143-0807

VL - 11

SP - 172

EP - 178

JO - European Journal of Physics

JF - European Journal of Physics

ER -

Momentum space calculations on the He atom

Résumé

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