Bijectivity of the Normalization and Fermi-Coulomb Hole Sum Rules for Approximate Wave Functions

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dc.creatorPan, Xiao-Yin
dc.creatorSahni, Viraht
dc.creatorMassa, Lou
dc.date2005-02-09
dc.date.accessioned2026-07-07T05:54:08Z
dc.date.available2026-07-07T05:54:08Z
dc.descriptionWe prove the bijectivity of the constraints of normalization and of the Fermi-Coulomb hole charge sum rule at each electron position for approximate wave functions. This bijectivity is surprising in light of the fact that normalization depends upon the probability of finding an electron at some position, whereas the Fermi-Coulomb hole sum rule depends on the probability of two electrons staying apart because of correlations due to the Pauli exclusion principle and Coulomb repulsion. We further demonstrate the bijectivity of these sum rules by example.
dc.description10 pages, 2 figures, and 1 table
dc.identifierhttps://arxiv.org/abs/physics/0502043
dc.identifierhttp://arxiv.org/abs/physics/0502043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86866
dc.subjectChemical Physics
dc.subjectAtomic Physics
dc.titleBijectivity of the Normalization and Fermi-Coulomb Hole Sum Rules for Approximate Wave Functions
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