Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states

Using the Rayleigh‐Schrödinger perturbation formalism, expressions are obtained for the nth order energy and the nth order wave function. No restrictions are placed on the degeneracy of the state or the order of perturbation in which the degeneracies are resolved. By the use of suitable operators, t...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of quantum chemistry 1969-09, Vol.3 (5), p.731-748
1. Verfasser: Hirschfelder, Joseph O.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 748
container_issue 5
container_start_page 731
container_title International journal of quantum chemistry
container_volume 3
creator Hirschfelder, Joseph O.
description Using the Rayleigh‐Schrödinger perturbation formalism, expressions are obtained for the nth order energy and the nth order wave function. No restrictions are placed on the degeneracy of the state or the order of perturbation in which the degeneracies are resolved. By the use of suitable operators, the formulae are expressed in compact form.
doi_str_mv 10.1002/qua.560030517
format Article
fullrecord <record><control><sourceid>wiley_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1002_qua_560030517</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>QUA560030517</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3047-ab8771feeb1fcd5275067389eaa7bea215757c4f38a7bc290b6af5bf49e208773</originalsourceid><addsrcrecordid>eNp9UEFOwzAQtBBIlMKRuz_gsk7iODlWhbZIFahAgZvlJOsk0CbFTgX5GB_gY6QqqnriNJrdmZ3VEHLJYcABvKuPjR6IEMAHweUR6XGIJQtC_npMet0emAwhOiVnzr0BQOiHskdwXNuVXtIH3S6xzAv2mBb25zsrqxwtXaNtNjbRTVlXtCmwti01taVJ3RQ0wxwrtLpBqquMVnXFDkZbzFvqmo64c3Ji9NLhxR_2yWJ88zSastn95HY0nLHUh0AynURScoOYcJNmwpMCQulHMWotE9QeF1LINDB-1PHUiyEJtRGJCWL0oLP6fcJ2d1NbO2fRqLUtV9q2ioPadqS6jtS-o04vd_rPcont_2I1XwwPnX9JpWvwa-_U9l11L0uhXu4mSoyun6d-NFeB_wu_e3yj</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states</title><source>Wiley Online Library All Journals</source><creator>Hirschfelder, Joseph O.</creator><creatorcontrib>Hirschfelder, Joseph O.</creatorcontrib><description>Using the Rayleigh‐Schrödinger perturbation formalism, expressions are obtained for the nth order energy and the nth order wave function. No restrictions are placed on the degeneracy of the state or the order of perturbation in which the degeneracies are resolved. By the use of suitable operators, the formulae are expressed in compact form.</description><identifier>ISSN: 0020-7608</identifier><identifier>EISSN: 1097-461X</identifier><identifier>DOI: 10.1002/qua.560030517</identifier><language>eng</language><publisher>New York: Interscience Publishers, a division of John Wiley &amp; Sons, Inc</publisher><ispartof>International journal of quantum chemistry, 1969-09, Vol.3 (5), p.731-748</ispartof><rights>Copyright © 1969 John Wiley &amp; Sons, Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3047-ab8771feeb1fcd5275067389eaa7bea215757c4f38a7bc290b6af5bf49e208773</citedby><cites>FETCH-LOGICAL-c3047-ab8771feeb1fcd5275067389eaa7bea215757c4f38a7bc290b6af5bf49e208773</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fqua.560030517$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fqua.560030517$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Hirschfelder, Joseph O.</creatorcontrib><title>Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states</title><title>International journal of quantum chemistry</title><addtitle>Int. J. Quantum Chem</addtitle><description>Using the Rayleigh‐Schrödinger perturbation formalism, expressions are obtained for the nth order energy and the nth order wave function. No restrictions are placed on the degeneracy of the state or the order of perturbation in which the degeneracies are resolved. By the use of suitable operators, the formulae are expressed in compact form.</description><issn>0020-7608</issn><issn>1097-461X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1969</creationdate><recordtype>article</recordtype><recordid>eNp9UEFOwzAQtBBIlMKRuz_gsk7iODlWhbZIFahAgZvlJOsk0CbFTgX5GB_gY6QqqnriNJrdmZ3VEHLJYcABvKuPjR6IEMAHweUR6XGIJQtC_npMet0emAwhOiVnzr0BQOiHskdwXNuVXtIH3S6xzAv2mBb25zsrqxwtXaNtNjbRTVlXtCmwti01taVJ3RQ0wxwrtLpBqquMVnXFDkZbzFvqmo64c3Ji9NLhxR_2yWJ88zSastn95HY0nLHUh0AynURScoOYcJNmwpMCQulHMWotE9QeF1LINDB-1PHUiyEJtRGJCWL0oLP6fcJ2d1NbO2fRqLUtV9q2ioPadqS6jtS-o04vd_rPcont_2I1XwwPnX9JpWvwa-_U9l11L0uhXu4mSoyun6d-NFeB_wu_e3yj</recordid><startdate>196909</startdate><enddate>196909</enddate><creator>Hirschfelder, Joseph O.</creator><general>Interscience Publishers, a division of John Wiley &amp; Sons, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>196909</creationdate><title>Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states</title><author>Hirschfelder, Joseph O.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3047-ab8771feeb1fcd5275067389eaa7bea215757c4f38a7bc290b6af5bf49e208773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1969</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hirschfelder, Joseph O.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>International journal of quantum chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hirschfelder, Joseph O.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states</atitle><jtitle>International journal of quantum chemistry</jtitle><addtitle>Int. J. Quantum Chem</addtitle><date>1969-09</date><risdate>1969</risdate><volume>3</volume><issue>5</issue><spage>731</spage><epage>748</epage><pages>731-748</pages><issn>0020-7608</issn><eissn>1097-461X</eissn><abstract>Using the Rayleigh‐Schrödinger perturbation formalism, expressions are obtained for the nth order energy and the nth order wave function. No restrictions are placed on the degeneracy of the state or the order of perturbation in which the degeneracies are resolved. By the use of suitable operators, the formulae are expressed in compact form.</abstract><cop>New York</cop><pub>Interscience Publishers, a division of John Wiley &amp; Sons, Inc</pub><doi>10.1002/qua.560030517</doi><tpages>18</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0020-7608
ispartof International journal of quantum chemistry, 1969-09, Vol.3 (5), p.731-748
issn 0020-7608
1097-461X
language eng
recordid cdi_crossref_primary_10_1002_qua_560030517
source Wiley Online Library All Journals
title Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T08%3A05%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-wiley_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Formal%20Rayleigh-Schr%C3%B6dinger%20perturbation%20theory%20for%20both%20degenerate%20and%20non-degenerate%20energy%20states&rft.jtitle=International%20journal%20of%20quantum%20chemistry&rft.au=Hirschfelder,%20Joseph%20O.&rft.date=1969-09&rft.volume=3&rft.issue=5&rft.spage=731&rft.epage=748&rft.pages=731-748&rft.issn=0020-7608&rft.eissn=1097-461X&rft_id=info:doi/10.1002/qua.560030517&rft_dat=%3Cwiley_cross%3EQUA560030517%3C/wiley_cross%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