Application of the Finite Element Method in Atomic and Molecular Physics

The finite element method (FEM) is a numerical algorithm for solving second order differential equations. It has been successfully used to solve many problems in atomic and molecular physics, including bound state and scattering calculations. To illustrate the diversity of the method, we present her...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Shertzer, Janine
Format: Tagungsbericht
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 Shertzer, Janine
description The finite element method (FEM) is a numerical algorithm for solving second order differential equations. It has been successfully used to solve many problems in atomic and molecular physics, including bound state and scattering calculations. To illustrate the diversity of the method, we present here details of two applications. First, we calculate the non-adiabatic dipole polarizability of Hi by directly solving the first and second order equations of perturbation theory with FEM. In the second application, we calculate the scattering amplitude for e-H scattering (without partial wave analysis) by reducing the Schrodinger equation to set of integro-differential equations, which are then solved with FEM.
format Conference Proceeding
fullrecord <record><control><sourceid>nasa_CYI</sourceid><recordid>TN_cdi_nasa_ntrs_20080040751</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>20080040751</sourcerecordid><originalsourceid>FETCH-nasa_ntrs_200800407513</originalsourceid><addsrcrecordid>eNqFyb0KwkAMAOBbHER9A4e8gHD-oWuRli4FB_cSrikXSJPSi4Nv7-Lu9A3fOrTVPAsndDYFG8EzQcPKTlALTaQOHXm2AVihcps4AeoAnQmlt-ACz_wpnMo2rEaUQrufm7Bv6tejPSgW7NWX0p9ivMd4ibfr8fynvxndL1U</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>Application of the Finite Element Method in Atomic and Molecular Physics</title><source>NASA Technical Reports Server</source><creator>Shertzer, Janine</creator><creatorcontrib>Shertzer, Janine</creatorcontrib><description>The finite element method (FEM) is a numerical algorithm for solving second order differential equations. It has been successfully used to solve many problems in atomic and molecular physics, including bound state and scattering calculations. To illustrate the diversity of the method, we present here details of two applications. First, we calculate the non-adiabatic dipole polarizability of Hi by directly solving the first and second order equations of perturbation theory with FEM. In the second application, we calculate the scattering amplitude for e-H scattering (without partial wave analysis) by reducing the Schrodinger equation to set of integro-differential equations, which are then solved with FEM.</description><language>eng</language><publisher>Goddard Space Flight Center</publisher><subject>Atomic And Molecular Physics</subject><creationdate>2007</creationdate><rights>Copyright Determination: PUBLIC_USE_PERMITTED</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>309,780,800</link.rule.ids><linktorsrc>$$Uhttps://ntrs.nasa.gov/citations/20080040751$$EView_record_in_NASA$$FView_record_in_$$GNASA$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Shertzer, Janine</creatorcontrib><title>Application of the Finite Element Method in Atomic and Molecular Physics</title><description>The finite element method (FEM) is a numerical algorithm for solving second order differential equations. It has been successfully used to solve many problems in atomic and molecular physics, including bound state and scattering calculations. To illustrate the diversity of the method, we present here details of two applications. First, we calculate the non-adiabatic dipole polarizability of Hi by directly solving the first and second order equations of perturbation theory with FEM. In the second application, we calculate the scattering amplitude for e-H scattering (without partial wave analysis) by reducing the Schrodinger equation to set of integro-differential equations, which are then solved with FEM.</description><subject>Atomic And Molecular Physics</subject><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2007</creationdate><recordtype>conference_proceeding</recordtype><sourceid>CYI</sourceid><recordid>eNqFyb0KwkAMAOBbHER9A4e8gHD-oWuRli4FB_cSrikXSJPSi4Nv7-Lu9A3fOrTVPAsndDYFG8EzQcPKTlALTaQOHXm2AVihcps4AeoAnQmlt-ACz_wpnMo2rEaUQrufm7Bv6tejPSgW7NWX0p9ivMd4ibfr8fynvxndL1U</recordid><startdate>20070101</startdate><enddate>20070101</enddate><creator>Shertzer, Janine</creator><scope>CYE</scope><scope>CYI</scope></search><sort><creationdate>20070101</creationdate><title>Application of the Finite Element Method in Atomic and Molecular Physics</title><author>Shertzer, Janine</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-nasa_ntrs_200800407513</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Atomic And Molecular Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Shertzer, Janine</creatorcontrib><collection>NASA Scientific and Technical Information</collection><collection>NASA Technical Reports Server</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Shertzer, Janine</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Application of the Finite Element Method in Atomic and Molecular Physics</atitle><date>2007-01-01</date><risdate>2007</risdate><abstract>The finite element method (FEM) is a numerical algorithm for solving second order differential equations. It has been successfully used to solve many problems in atomic and molecular physics, including bound state and scattering calculations. To illustrate the diversity of the method, we present here details of two applications. First, we calculate the non-adiabatic dipole polarizability of Hi by directly solving the first and second order equations of perturbation theory with FEM. In the second application, we calculate the scattering amplitude for e-H scattering (without partial wave analysis) by reducing the Schrodinger equation to set of integro-differential equations, which are then solved with FEM.</abstract><cop>Goddard Space Flight Center</cop><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier
ispartof
issn
language eng
recordid cdi_nasa_ntrs_20080040751
source NASA Technical Reports Server
subjects Atomic And Molecular Physics
title Application of the Finite Element Method in Atomic and Molecular Physics
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-20T19%3A17%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-nasa_CYI&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=Application%20of%20the%20Finite%20Element%20Method%20in%20Atomic%20and%20Molecular%20Physics&rft.au=Shertzer,%20Janine&rft.date=2007-01-01&rft_id=info:doi/&rft_dat=%3Cnasa_CYI%3E20080040751%3C/nasa_CYI%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