Approximate neutrality of large-Z ions

Elliott H. Lieb; Israel M. Sigal; Barry Simon; Walter Thirring

doi:10.1007/3-540-27056-6_9

Approximate neutrality of large-Z ions

Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring

Mathematics

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

Abstract

Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic quantum mechanics (assuming that electrons are fermions). We prove that N(Z)/Z → 1 as Z → ∞.

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	103-112
Number of pages	10
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_9
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_9

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title = "Approximate neutrality of large-Z ions",

abstract = "Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic quantum mechanics (assuming that electrons are fermions). We prove that N(Z)/Z → 1 as Z → ∞.",

author = "Lieb, \{Elliott H.\} and Sigal, \{Israel M.\} and Barry Simon and Walter Thirring",

year = "2005",

doi = "10.1007/3-540-27056-6\_9",

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T1 - Approximate neutrality of large-Z ions

AU - Lieb, Elliott H.

AU - Sigal, Israel M.

AU - Simon, Barry

AU - Thirring, Walter

PY - 2005

Y1 - 2005

N2 - Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic quantum mechanics (assuming that electrons are fermions). We prove that N(Z)/Z → 1 as Z → ∞.

AB - Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic quantum mechanics (assuming that electrons are fermions). We prove that N(Z)/Z → 1 as Z → ∞.

UR - https://www.scopus.com/pages/publications/84892280124

UR - https://www.scopus.com/inward/citedby.url?scp=84892280124&partnerID=8YFLogxK

U2 - 10.1007/3-540-27056-6_9

DO - 10.1007/3-540-27056-6_9

M3 - Chapter

AN - SCOPUS:84892280124

SN - 3540420835

SN - 9783540222125

SP - 103

EP - 112

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Approximate neutrality of large-Z ions

Abstract

All Science Journal Classification (ASJC) codes

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