Variational perturbation approach to the Coulomb electron gas

Variational perturbation approach to the Coulomb electron gas

The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the Coulomb interaction. The perturbation beyond a variational result...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2002-04
Hauptverfasser: Sang Koo You, Fukushima, Noboru
Format: Artikel
Sprache:eng
Schlagworte:
Electron gas
Electrons
Green's functions
Mathematical analysis
Perturbation theory
Theorems
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 Sang Koo You
Fukushima, Noboru
description The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the Coulomb interaction. The perturbation beyond a variational result can be carried out systematically by the modified Wick's theorem which defines a contraction rule about the renormalized perturbation. Utilizing the theorem, variational ring diagrams of the electron gas are summed up. As a result, the correlation energy is found to be much closer to the result of the Green's function Monte Carlo calculation than that of the conventional ring approximation is.
doi_str_mv 10.48550/arxiv.0204276
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2089003998</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2089003998</sourcerecordid><originalsourceid>FETCH-proquest_journals_20890039983</originalsourceid><addsrcrecordid>eNqNjL0KwjAURoMgWLSrc8C5envTtOngVBQfQFxLWqJtiabmR3x8i_gATocPzncIWaewzQTnsJP23b-2gJBhkc9IhIylicgQFyR2bgAAzAvknEVkf5G2l743D6npqKwPtvlOKsfRGtl21BvqO0UrE7S5N1Rp1Xo7CTfpVmR-ldqp-Mcl2RwP5-qUTNdnUM7Xgwl2SrsaQZQArCwF-8_6AAcnPgw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2089003998</pqid></control><display><type>article</type><title>Variational perturbation approach to the Coulomb electron gas</title><source>Free E- Journals</source><creator>Sang Koo You ; Fukushima, Noboru</creator><creatorcontrib>Sang Koo You ; Fukushima, Noboru</creatorcontrib><description>The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the Coulomb interaction. The perturbation beyond a variational result can be carried out systematically by the modified Wick's theorem which defines a contraction rule about the renormalized perturbation. Utilizing the theorem, variational ring diagrams of the electron gas are summed up. As a result, the correlation energy is found to be much closer to the result of the Green's function Monte Carlo calculation than that of the conventional ring approximation is.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0204276</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Electron gas ; Electrons ; Green's functions ; Mathematical analysis ; Perturbation theory ; Theorems</subject><ispartof>arXiv.org, 2002-04</ispartof><rights>2002. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</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>Sang Koo You</creatorcontrib><creatorcontrib>Fukushima, Noboru</creatorcontrib><title>Variational perturbation approach to the Coulomb electron gas</title><title>arXiv.org</title><description>The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the Coulomb interaction. The perturbation beyond a variational result can be carried out systematically by the modified Wick's theorem which defines a contraction rule about the renormalized perturbation. Utilizing the theorem, variational ring diagrams of the electron gas are summed up. As a result, the correlation energy is found to be much closer to the result of the Green's function Monte Carlo calculation than that of the conventional ring approximation is.</description><subject>Electron gas</subject><subject>Electrons</subject><subject>Green's functions</subject><subject>Mathematical analysis</subject><subject>Perturbation theory</subject><subject>Theorems</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNjL0KwjAURoMgWLSrc8C5envTtOngVBQfQFxLWqJtiabmR3x8i_gATocPzncIWaewzQTnsJP23b-2gJBhkc9IhIylicgQFyR2bgAAzAvknEVkf5G2l743D6npqKwPtvlOKsfRGtl21BvqO0UrE7S5N1Rp1Xo7CTfpVmR-ldqp-Mcl2RwP5-qUTNdnUM7Xgwl2SrsaQZQArCwF-8_6AAcnPgw</recordid><startdate>20020412</startdate><enddate>20020412</enddate><creator>Sang Koo You</creator><creator>Fukushima, Noboru</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>20020412</creationdate><title>Variational perturbation approach to the Coulomb electron gas</title><author>Sang Koo You ; Fukushima, Noboru</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20890039983</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Electron gas</topic><topic>Electrons</topic><topic>Green's functions</topic><topic>Mathematical analysis</topic><topic>Perturbation theory</topic><topic>Theorems</topic><toplevel>online_resources</toplevel><creatorcontrib>Sang Koo You</creatorcontrib><creatorcontrib>Fukushima, Noboru</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; 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>Sang Koo You</au><au>Fukushima, Noboru</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Variational perturbation approach to the Coulomb electron gas</atitle><jtitle>arXiv.org</jtitle><date>2002-04-12</date><risdate>2002</risdate><eissn>2331-8422</eissn><abstract>The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the Coulomb interaction. The perturbation beyond a variational result can be carried out systematically by the modified Wick's theorem which defines a contraction rule about the renormalized perturbation. Utilizing the theorem, variational ring diagrams of the electron gas are summed up. As a result, the correlation energy is found to be much closer to the result of the Green's function Monte Carlo calculation than that of the conventional ring approximation is.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0204276</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2002-04
issn 2331-8422
language eng
recordid cdi_proquest_journals_2089003998
source Free E- Journals
subjects Electron gas
Electrons
Green's functions
Mathematical analysis
Perturbation theory
Theorems
title Variational perturbation approach to the Coulomb electron gas
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T19%3A12%3A53IST&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=Variational%20perturbation%20approach%20to%20the%20Coulomb%20electron%20gas&rft.jtitle=arXiv.org&rft.au=Sang%20Koo%20You&rft.date=2002-04-12&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0204276&rft_dat=%3Cproquest%3E2089003998%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2089003998&rft_id=info:pmid/&rfr_iscdi=true