Thomas-Fermi approximation to electronic density
In heavy atoms and molecules, on the distances $a \gg Z^{-1}$ from all of the nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in $L^p$-norm, by the Thomas-Fermi density.
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | |
container_volume | |
creator | Ivrii, Victor |
description | In heavy atoms and molecules, on the distances $a \gg Z^{-1}$ from all of the
nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in
$L^p$-norm, by the Thomas-Fermi density. |
doi_str_mv | 10.48550/arxiv.1911.03510 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1911_03510</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1911_03510</sourcerecordid><originalsourceid>FETCH-LOGICAL-a670-940487aae400df354e984dadbb8a333744944fc8736a3f103168dcbc00ad70193</originalsourceid><addsrcrecordid>eNotzr1qwzAUQGEtHUKaB8gUv4DdK-61JY0lNEkh0MW7uZZkIogtI5uSvH1-p7MdPiHWEgrSZQlfnC7hv5BGygKwlLAQUJ9iz1O-86kPGY9jipfQ8xzikM0x82dv5xSHYDPnhynM10_x0fF58qt3l6Le_dTbQ3782_9uv485VwpyQ0BaMXsCcB2W5I0mx65tNSOiIjJEndUKK8ZOAspKO9taAHYKpMGl2Ly2T3IzpjsqXZsHvXnS8QZaXj3X</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Thomas-Fermi approximation to electronic density</title><source>arXiv.org</source><creator>Ivrii, Victor</creator><creatorcontrib>Ivrii, Victor</creatorcontrib><description>In heavy atoms and molecules, on the distances $a \gg Z^{-1}$ from all of the
nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in
$L^p$-norm, by the Thomas-Fermi density.</description><identifier>DOI: 10.48550/arxiv.1911.03510</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Mathematics - Spectral Theory ; Physics - Mathematical Physics</subject><creationdate>2019-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1911.03510$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1911.03510$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Ivrii, Victor</creatorcontrib><title>Thomas-Fermi approximation to electronic density</title><description>In heavy atoms and molecules, on the distances $a \gg Z^{-1}$ from all of the
nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in
$L^p$-norm, by the Thomas-Fermi density.</description><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Spectral Theory</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzr1qwzAUQGEtHUKaB8gUv4DdK-61JY0lNEkh0MW7uZZkIogtI5uSvH1-p7MdPiHWEgrSZQlfnC7hv5BGygKwlLAQUJ9iz1O-86kPGY9jipfQ8xzikM0x82dv5xSHYDPnhynM10_x0fF58qt3l6Le_dTbQ3782_9uv485VwpyQ0BaMXsCcB2W5I0mx65tNSOiIjJEndUKK8ZOAspKO9taAHYKpMGl2Ly2T3IzpjsqXZsHvXnS8QZaXj3X</recordid><startdate>20191108</startdate><enddate>20191108</enddate><creator>Ivrii, Victor</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20191108</creationdate><title>Thomas-Fermi approximation to electronic density</title><author>Ivrii, Victor</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-940487aae400df354e984dadbb8a333744944fc8736a3f103168dcbc00ad70193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Spectral Theory</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Ivrii, Victor</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ivrii, Victor</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thomas-Fermi approximation to electronic density</atitle><date>2019-11-08</date><risdate>2019</risdate><abstract>In heavy atoms and molecules, on the distances $a \gg Z^{-1}$ from all of the
nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in
$L^p$-norm, by the Thomas-Fermi density.</abstract><doi>10.48550/arxiv.1911.03510</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | DOI: 10.48550/arxiv.1911.03510 |
ispartof | |
issn | |
language | eng |
recordid | cdi_arxiv_primary_1911_03510 |
source | arXiv.org |
subjects | Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics |
title | Thomas-Fermi approximation to electronic density |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-20T16%3A01%3A25IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Thomas-Fermi%20approximation%20to%20electronic%20density&rft.au=Ivrii,%20Victor&rft.date=2019-11-08&rft_id=info:doi/10.48550/arxiv.1911.03510&rft_dat=%3Carxiv_GOX%3E1911_03510%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |