The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order
It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics yielding energy levels correctly up to order \(\alp...
Gespeichert in:
Veröffentlicht in: | arXiv.org 2006-03 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | arXiv.org |
container_volume | |
creator | Cassanas, Roch Siedentop, Heinz |
description | It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics yielding energy levels correctly up to order \(\alpha^2\)Ry. |
doi_str_mv | 10.48550/arxiv.0603079 |
format | Article |
fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2092698415</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2092698415</sourcerecordid><originalsourceid>FETCH-proquest_journals_20926984153</originalsourceid><addsrcrecordid>eNqNjEFPwjAYhhsSE4ly5fwlnMFv7To2btNMOZiYAHdSu29QMlptu-n-vWD8AZ7ew_M8L2PTBBdpLiU-KP9t-gVmKHBZjNiYC5HM85TzWzYJ4YSIPFtyKcWYDbsjwYt3na1hG1UkqCz5wwCugTWpfoAyunOAUmvna2MPEB08evdlQV2SjerJHlXbrqB8D2Q1XcMNtSqa3oRoNFRNQzoGMBZeSf1evPma_D27aVQbaPK3d2z2XO2e1vMP7z47CnF_cp23F7TnWPCsyNNEiv9ZP2g9UkU</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2092698415</pqid></control><display><type>article</type><title>The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order</title><source>Free E- Journals</source><creator>Cassanas, Roch ; Siedentop, Heinz</creator><creatorcontrib>Cassanas, Roch ; Siedentop, Heinz</creatorcontrib><description>It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics yielding energy levels correctly up to order \(\alpha^2\)Ry.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0603079</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Energy levels ; Ground state ; Quantum electrodynamics ; Quantum theory ; Relativism ; Relativistic effects</subject><ispartof>arXiv.org, 2006-03</ispartof><rights>Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at http://arxiv.org/abs/math-ph/0603079.</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>776,780,27902</link.rule.ids></links><search><creatorcontrib>Cassanas, Roch</creatorcontrib><creatorcontrib>Siedentop, Heinz</creatorcontrib><title>The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order</title><title>arXiv.org</title><description>It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics yielding energy levels correctly up to order \(\alpha^2\)Ry.</description><subject>Energy levels</subject><subject>Ground state</subject><subject>Quantum electrodynamics</subject><subject>Quantum theory</subject><subject>Relativism</subject><subject>Relativistic effects</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNjEFPwjAYhhsSE4ly5fwlnMFv7To2btNMOZiYAHdSu29QMlptu-n-vWD8AZ7ew_M8L2PTBBdpLiU-KP9t-gVmKHBZjNiYC5HM85TzWzYJ4YSIPFtyKcWYDbsjwYt3na1hG1UkqCz5wwCugTWpfoAyunOAUmvna2MPEB08evdlQV2SjerJHlXbrqB8D2Q1XcMNtSqa3oRoNFRNQzoGMBZeSf1evPma_D27aVQbaPK3d2z2XO2e1vMP7z47CnF_cp23F7TnWPCsyNNEiv9ZP2g9UkU</recordid><startdate>20060329</startdate><enddate>20060329</enddate><creator>Cassanas, Roch</creator><creator>Siedentop, Heinz</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20060329</creationdate><title>The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order</title><author>Cassanas, Roch ; Siedentop, Heinz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20926984153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Energy levels</topic><topic>Ground state</topic><topic>Quantum electrodynamics</topic><topic>Quantum theory</topic><topic>Relativism</topic><topic>Relativistic effects</topic><toplevel>online_resources</toplevel><creatorcontrib>Cassanas, Roch</creatorcontrib><creatorcontrib>Siedentop, Heinz</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cassanas, Roch</au><au>Siedentop, Heinz</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order</atitle><jtitle>arXiv.org</jtitle><date>2006-03-29</date><risdate>2006</risdate><eissn>2331-8422</eissn><abstract>It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics yielding energy levels correctly up to order \(\alpha^2\)Ry.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0603079</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | EISSN: 2331-8422 |
ispartof | arXiv.org, 2006-03 |
issn | 2331-8422 |
language | eng |
recordid | cdi_proquest_journals_2092698415 |
source | Free E- Journals |
subjects | Energy levels Ground state Quantum electrodynamics Quantum theory Relativism Relativistic effects |
title | The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-29T04%3A43%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=The%20Ground%20State%20Energy%20of%20Heavy%20Atoms%20According%20to%20Brown%20and%20Ravenhall:%20Absence%20of%20Relativistic%20Effects%20in%20Leading%20Order&rft.jtitle=arXiv.org&rft.au=Cassanas,%20Roch&rft.date=2006-03-29&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0603079&rft_dat=%3Cproquest%3E2092698415%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2092698415&rft_id=info:pmid/&rfr_iscdi=true |