A supersymmetric Dirac oscillator with scalar coupling
It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐i...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical physics 1992-03, Vol.33 (3), p.1114-1117 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1117 |
|---|---|
| container_issue | 3 |
| container_start_page | 1114 |
| container_title | Journal of mathematical physics |
| container_volume | 33 |
| creator | Dixit, V. V. Santhanam, T. S. Thacker, W. D. |
| description | It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐in supersymmetry, and that it guarantees the stability of the Dirac vacuum. |
| doi_str_mv | 10.1063/1.529775 |
| format | Article |
| fullrecord | <record><control><sourceid>scitation_pasca</sourceid><recordid>TN_cdi_pascalfrancis_primary_5171125</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>jmp</sourcerecordid><originalsourceid>FETCH-LOGICAL-c322t-b557ebb5ef4ab5694ded5fe1a5e7118579b66f0219490521a7d34f5bb6c886633</originalsourceid><addsrcrecordid>eNp9z0tLxDAUBeAgCtZR8Cd04UIXHZM0N0mXw_iEATe6LkmaaKQvko4y_96WSjeCq7v5uOcchC4JXhPM81uyBloIAUcoIVgWmeAgj1GCMaUZZVKeorMYPzEmRDKWIL5J4763IR6axg7Bm_TOB2XSLhpf12roQvrth480GlWrkJpu39e-fT9HJ07V0V783hV6e7h_3T5lu5fH5-1ml5mc0iHTAMJqDdYxpYEXrLIVOEsUWDEWAFFozh2mpGAFBkqUqHLmQGtupOQ8z1foev5rQhdjsK7sg29UOJQEl9PekpTz3pFezbRXU1kXVGt8XDyQMZFO7GZm48BBDb5rF_LVheVd2VfuP_sn_gcBpm-b</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A supersymmetric Dirac oscillator with scalar coupling</title><source>AIP Digital Archive</source><creator>Dixit, V. V. ; Santhanam, T. S. ; Thacker, W. D.</creator><creatorcontrib>Dixit, V. V. ; Santhanam, T. S. ; Thacker, W. D.</creatorcontrib><description>It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐in supersymmetry, and that it guarantees the stability of the Dirac vacuum.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.529775</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>Classical and quantum physics: mechanics and fields ; Exact sciences and technology ; Physics ; Quantum mechanics</subject><ispartof>Journal of mathematical physics, 1992-03, Vol.33 (3), p.1114-1117</ispartof><rights>American Institute of Physics</rights><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c322t-b557ebb5ef4ab5694ded5fe1a5e7118579b66f0219490521a7d34f5bb6c886633</citedby><cites>FETCH-LOGICAL-c322t-b557ebb5ef4ab5694ded5fe1a5e7118579b66f0219490521a7d34f5bb6c886633</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.529775$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,780,784,1558,27923,27924,76161</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5171125$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Dixit, V. V.</creatorcontrib><creatorcontrib>Santhanam, T. S.</creatorcontrib><creatorcontrib>Thacker, W. D.</creatorcontrib><title>A supersymmetric Dirac oscillator with scalar coupling</title><title>Journal of mathematical physics</title><description>It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐in supersymmetry, and that it guarantees the stability of the Dirac vacuum.</description><subject>Classical and quantum physics: mechanics and fields</subject><subject>Exact sciences and technology</subject><subject>Physics</subject><subject>Quantum mechanics</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1992</creationdate><recordtype>article</recordtype><recordid>eNp9z0tLxDAUBeAgCtZR8Cd04UIXHZM0N0mXw_iEATe6LkmaaKQvko4y_96WSjeCq7v5uOcchC4JXhPM81uyBloIAUcoIVgWmeAgj1GCMaUZZVKeorMYPzEmRDKWIL5J4763IR6axg7Bm_TOB2XSLhpf12roQvrth480GlWrkJpu39e-fT9HJ07V0V783hV6e7h_3T5lu5fH5-1ml5mc0iHTAMJqDdYxpYEXrLIVOEsUWDEWAFFozh2mpGAFBkqUqHLmQGtupOQ8z1foev5rQhdjsK7sg29UOJQEl9PekpTz3pFezbRXU1kXVGt8XDyQMZFO7GZm48BBDb5rF_LVheVd2VfuP_sn_gcBpm-b</recordid><startdate>19920301</startdate><enddate>19920301</enddate><creator>Dixit, V. V.</creator><creator>Santhanam, T. S.</creator><creator>Thacker, W. D.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19920301</creationdate><title>A supersymmetric Dirac oscillator with scalar coupling</title><author>Dixit, V. V. ; Santhanam, T. S. ; Thacker, W. D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c322t-b557ebb5ef4ab5694ded5fe1a5e7118579b66f0219490521a7d34f5bb6c886633</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1992</creationdate><topic>Classical and quantum physics: mechanics and fields</topic><topic>Exact sciences and technology</topic><topic>Physics</topic><topic>Quantum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dixit, V. V.</creatorcontrib><creatorcontrib>Santhanam, T. S.</creatorcontrib><creatorcontrib>Thacker, W. D.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dixit, V. V.</au><au>Santhanam, T. S.</au><au>Thacker, W. D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A supersymmetric Dirac oscillator with scalar coupling</atitle><jtitle>Journal of mathematical physics</jtitle><date>1992-03-01</date><risdate>1992</risdate><volume>33</volume><issue>3</issue><spage>1114</spage><epage>1117</epage><pages>1114-1117</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐in supersymmetry, and that it guarantees the stability of the Dirac vacuum.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.529775</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 1992-03, Vol.33 (3), p.1114-1117 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_5171125 |
| source | AIP Digital Archive |
| subjects | Classical and quantum physics: mechanics and fields Exact sciences and technology Physics Quantum mechanics |
| title | A supersymmetric Dirac oscillator with scalar coupling |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T14%3A45%3A57IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-scitation_pasca&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20supersymmetric%20Dirac%20oscillator%20with%20scalar%20coupling&rft.jtitle=Journal%20of%20mathematical%20physics&rft.au=Dixit,%20V.%20V.&rft.date=1992-03-01&rft.volume=33&rft.issue=3&rft.spage=1114&rft.epage=1117&rft.pages=1114-1117&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/1.529775&rft_dat=%3Cscitation_pasca%3Ejmp%3C/scitation_pasca%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 |