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

39 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

Access to Document

10.1007/BF01224904

Cite this

@article{c3d77b85e80a441084f723e117f78707,

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",

language = "English (US)",

volume = "116",

pages = "635--644",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Approximate neutrality of large-Z ions

AU - Lieb, Elliott H.

AU - Sigal, Israel M.

AU - Simon, Barry

AU - Thirring, Walter

PY - 1988/12

Y1 - 1988/12

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/34250086202

UR - https://www.scopus.com/pages/publications/34250086202#tab=citedBy

U2 - 10.1007/BF01224904

DO - 10.1007/BF01224904

M3 - Article

AN - SCOPUS:34250086202

SN - 0010-3616

VL - 116

SP - 635

EP - 644

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

Access to Document

Other files and links

Fingerprint

Cite this