Approximate neutrality of large-Z ions

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

doi:10.1007/BF01224904

Approximate neutrality of large-Z ions

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

Mathematics

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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)
Pages (from-to)	635-644
Number of pages	10
Journal	Communications In Mathematical Physics
Volume	116
Issue number	4
DOIs	https://doi.org/10.1007/BF01224904
State	Published - Dec 1988

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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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 = "1988",

month = dec,

doi = "10.1007/BF01224904",

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journal = "Communications In Mathematical Physics",

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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 - 1988/12

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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→∞.

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 4

ER -

Approximate neutrality of large-Z ions

Abstract

All Science Journal Classification (ASJC) codes

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