The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Rafael Benguria; Haim Brezis; Elliott H. Lieb

doi:10.1007/3-540-27056-6_25

The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Rafael Benguria
, Haim Brezis
, Elliott H. Lieb

Mathematics

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

Abstract

We place the Thomas-Fermi-von Weizsäcker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsäcker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsäcker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.

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	357-370
Number of pages	14
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_25
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_25

Cite this

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abstract = "We place the Thomas-Fermi-von Weizs{\"a}cker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizs{\"a}cker equation as well as the fact that they minimize the Thomas-Fermi-von Weizs{\"a}cker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.",

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AU - Lieb, Elliott H.

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N2 - We place the Thomas-Fermi-von Weizsäcker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsäcker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsäcker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.

AB - We place the Thomas-Fermi-von Weizsäcker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsäcker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsäcker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.

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UR - https://www.scopus.com/pages/publications/84892303771#tab=citedBy

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DO - 10.1007/3-540-27056-6_25

M3 - Chapter

AN - SCOPUS:84892303771

SN - 3540420835

SN - 9783540222125

SP - 357

EP - 370

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Abstract

All Science Journal Classification (ASJC) codes

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