Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory
A set of relations is set up which connect quadratic products of the shift operators O k l (k = 0,1,2), which are nonscalar with respect to the O(3) subgroup of SU (3). The usefulness of these relations is illustrated by the calculation of the eigenvalues of the scalar shift operator O 0 l for vario...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical physics 1981-11, Vol.22 (11), p.2360-2365 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2365 |
|---|---|
| container_issue | 11 |
| container_start_page | 2360 |
| container_title | Journal of mathematical physics |
| container_volume | 22 |
| creator | De Meyer, H. E. Vanden Berghe, G. Hughes, J. W. B. |
| description | A set of relations is set up which connect quadratic products of the shift operators O
k
l
(k = 0,1,2), which are nonscalar with respect to the O(3) subgroup of SU (3). The usefulness of these relations is illustrated by the calculation of the eigenvalues of the scalar shift operator O
0
l
for various irreducible representations ( p,q) of SU (3). |
| doi_str_mv | 10.1063/1.524817 |
| format | Article |
| fullrecord | <record><control><sourceid>scitation_cross</sourceid><recordid>TN_cdi_scitation_primary_10_1063_1_524817</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>jmp</sourcerecordid><originalsourceid>FETCH-LOGICAL-c210t-db011328b69d6a5e9f35d855ccc5ed537c6b3793509d4b51a2d611b107143f543</originalsourceid><addsrcrecordid>eNqdkF9LwzAUxYMoWKfgR8jj9tCa2zRt-ihD52C4Bzd8LGn-0MhsahLFfXs7Kn4An-69nB-Xcw5Ct0AyICW9g4zlBYfqDCVAeJ1WJePnKCEkz9NR4JfoKoQ3QgB4USTo9dn1QYqD8Fh_R90H63rsDA6dNRG7QXsRncdRy663H586YDOeL3s8pwtseyx6vD2trQg2ZHid4V2nnT9eowsjDkHf_M4Z2j8-7JZP6Wa7Wi_vN6nMgcRUtaMRmvO2rFUpmK4NZYozJqVkWjFaybKlVU0ZqVXRMhC5KgFaIBUU1LCCztB8-iu9C8Fr0wzevgt_bIA0p0IaaKZCRnQxoUHaKOIY9F_sl_N_XDMoQ38AZT9r1g</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory</title><source>AIP Digital Archive</source><creator>De Meyer, H. E. ; Vanden Berghe, G. ; Hughes, J. W. B.</creator><creatorcontrib>De Meyer, H. E. ; Vanden Berghe, G. ; Hughes, J. W. B.</creatorcontrib><description>A set of relations is set up which connect quadratic products of the shift operators O
k
l
(k = 0,1,2), which are nonscalar with respect to the O(3) subgroup of SU (3). The usefulness of these relations is illustrated by the calculation of the eigenvalues of the scalar shift operator O
0
l
for various irreducible representations ( p,q) of SU (3).</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.524817</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><ispartof>Journal of mathematical physics, 1981-11, Vol.22 (11), p.2360-2365</ispartof><rights>American Institute of Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c210t-db011328b69d6a5e9f35d855ccc5ed537c6b3793509d4b51a2d611b107143f543</citedby><cites>FETCH-LOGICAL-c210t-db011328b69d6a5e9f35d855ccc5ed537c6b3793509d4b51a2d611b107143f543</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/10.1063/1.524817$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,780,784,1559,27924,27925,76390</link.rule.ids></links><search><creatorcontrib>De Meyer, H. E.</creatorcontrib><creatorcontrib>Vanden Berghe, G.</creatorcontrib><creatorcontrib>Hughes, J. W. B.</creatorcontrib><title>Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory</title><title>Journal of mathematical physics</title><description>A set of relations is set up which connect quadratic products of the shift operators O
k
l
(k = 0,1,2), which are nonscalar with respect to the O(3) subgroup of SU (3). The usefulness of these relations is illustrated by the calculation of the eigenvalues of the scalar shift operator O
0
l
for various irreducible representations ( p,q) of SU (3).</description><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1981</creationdate><recordtype>article</recordtype><recordid>eNqdkF9LwzAUxYMoWKfgR8jj9tCa2zRt-ihD52C4Bzd8LGn-0MhsahLFfXs7Kn4An-69nB-Xcw5Ct0AyICW9g4zlBYfqDCVAeJ1WJePnKCEkz9NR4JfoKoQ3QgB4USTo9dn1QYqD8Fh_R90H63rsDA6dNRG7QXsRncdRy663H586YDOeL3s8pwtseyx6vD2trQg2ZHid4V2nnT9eowsjDkHf_M4Z2j8-7JZP6Wa7Wi_vN6nMgcRUtaMRmvO2rFUpmK4NZYozJqVkWjFaybKlVU0ZqVXRMhC5KgFaIBUU1LCCztB8-iu9C8Fr0wzevgt_bIA0p0IaaKZCRnQxoUHaKOIY9F_sl_N_XDMoQ38AZT9r1g</recordid><startdate>198111</startdate><enddate>198111</enddate><creator>De Meyer, H. E.</creator><creator>Vanden Berghe, G.</creator><creator>Hughes, J. W. B.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>198111</creationdate><title>Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory</title><author>De Meyer, H. E. ; Vanden Berghe, G. ; Hughes, J. W. B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c210t-db011328b69d6a5e9f35d855ccc5ed537c6b3793509d4b51a2d611b107143f543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1981</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>De Meyer, H. E.</creatorcontrib><creatorcontrib>Vanden Berghe, G.</creatorcontrib><creatorcontrib>Hughes, J. W. B.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>De Meyer, H. E.</au><au>Vanden Berghe, G.</au><au>Hughes, J. W. B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory</atitle><jtitle>Journal of mathematical physics</jtitle><date>1981-11</date><risdate>1981</risdate><volume>22</volume><issue>11</issue><spage>2360</spage><epage>2365</epage><pages>2360-2365</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>A set of relations is set up which connect quadratic products of the shift operators O
k
l
(k = 0,1,2), which are nonscalar with respect to the O(3) subgroup of SU (3). The usefulness of these relations is illustrated by the calculation of the eigenvalues of the scalar shift operator O
0
l
for various irreducible representations ( p,q) of SU (3).</abstract><doi>10.1063/1.524817</doi><tpages>6</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 1981-11, Vol.22 (11), p.2360-2365 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_524817 |
| source | AIP Digital Archive |
| title | Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T06%3A32%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-scitation_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Nonscalar%20extension%20of%20shift%20operator%20techniques%20for%20SU%20(3)%20in%20an%20O(3)%20basis.%20I.%20Theory&rft.jtitle=Journal%20of%20mathematical%20physics&rft.au=De%20Meyer,%20H.%20E.&rft.date=1981-11&rft.volume=22&rft.issue=11&rft.spage=2360&rft.epage=2365&rft.pages=2360-2365&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/1.524817&rft_dat=%3Cscitation_cross%3Ejmp%3C/scitation_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 |