Monotonicity of the molecular electronic energy in the nuclear coordinates

E. H. Lieb

doi:10.1088/0022-3700/15/3/002

Monotonicity of the molecular electronic energy in the nuclear coordinates

E. H. Lieb

Mathematics

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13 Scopus citations

Abstract

Let e(R₁,...,R_k) be the electronic contribution to the ground-state energy of a molecule consisting of one electron and k nuclei located at R₁,...,R_k. It is shown that e(R ₁′,...,R_k′)≥e(R₁,...,R _k) if mod R_i′-R_i′ mod ≥ mod R_i-R_i mod for all pairs i, j.

Original language	English (US)
Article number	002
Pages (from-to)	L63-L66
Journal	Journal of Physics B: Atomic and Molecular Physics
Volume	15
Issue number	3
DOIs	https://doi.org/10.1088/0022-3700/15/3/002
State	Published - Dec 1 1982

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1088/0022-3700/15/3/002

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title = "Monotonicity of the molecular electronic energy in the nuclear coordinates",

abstract = "Let e(R1,...,Rk) be the electronic contribution to the ground-state energy of a molecule consisting of one electron and k nuclei located at R1,...,Rk. It is shown that e(R 1′,...,Rk′)≥e(R1,...,R k) if mod Ri′-Ri′ mod ≥ mod Ri-Ri mod for all pairs i, j.",

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T1 - Monotonicity of the molecular electronic energy in the nuclear coordinates

AU - Lieb, E. H.

PY - 1982/12/1

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N2 - Let e(R1,...,Rk) be the electronic contribution to the ground-state energy of a molecule consisting of one electron and k nuclei located at R1,...,Rk. It is shown that e(R 1′,...,Rk′)≥e(R1,...,R k) if mod Ri′-Ri′ mod ≥ mod Ri-Ri mod for all pairs i, j.

AB - Let e(R1,...,Rk) be the electronic contribution to the ground-state energy of a molecule consisting of one electron and k nuclei located at R1,...,Rk. It is shown that e(R 1′,...,Rk′)≥e(R1,...,R k) if mod Ri′-Ri′ mod ≥ mod Ri-Ri mod for all pairs i, j.

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JF - Journal of the Physics B: Atomic and Molecular Physics

IS - 3

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ER -

Monotonicity of the molecular electronic energy in the nuclear coordinates

Abstract

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