Letter to the editor: Monotonicity of the molecular electronic energy in the nuclear coordinates

Elliott H. Lieb

doi:10.1007/3-540-27056-6_5

Letter to the editor: Monotonicity of the molecular electronic energy in the nuclear coordinates

Elliott H. Lieb

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 |R_i′ - R_j′ | | R_i - R_j| for all pairs i, j.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	79-82
Number of pages	4
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_5
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_5

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title = "Letter to the editor: 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 |Ri′ - Rj′ | | Ri - Rj| for all pairs i, j.",

author = "Lieb, \{Elliott H.\}",

year = "2005",

doi = "10.1007/3-540-27056-6\_5",

language = "English (US)",

isbn = "3540420835",

pages = "79--82",

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T1 - Letter to the editor

T2 - Monotonicity of the molecular electronic energy in the nuclear coordinates

AU - Lieb, Elliott H.

PY - 2005

Y1 - 2005

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 |Ri′ - Rj′ | | Ri - Rj| 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 |Ri′ - Rj′ | | Ri - Rj| for all pairs i, j.

UR - https://www.scopus.com/pages/publications/84892322015

UR - https://www.scopus.com/pages/publications/84892322015#tab=citedBy

U2 - 10.1007/3-540-27056-6_5

DO - 10.1007/3-540-27056-6_5

M3 - Chapter

AN - SCOPUS:84892322015

SN - 3540420835

SN - 9783540222125

SP - 79

EP - 82

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Letter to the editor: Monotonicity of the molecular electronic energy in the nuclear coordinates

Abstract

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