Trace Operators for the State Labelling Problem in the Exceptional Lie Algebra F4
| dc.contributor.author | Campoamor Stursberg, Otto-Rudwig | |
| dc.date.accessioned | 2023-06-20T03:31:58Z | |
| dc.date.available | 2023-06-20T03:31:58Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | The Casimir operators of the exceptional Lie algebra F4 are constructed using the method of trace operators. Taking into account a decomposition of matrices related to the embedding F4 _ so(9), subgroup scalars for the corresponding state labelling problem are determined as traces of powers of the components, enabling us to propose an orthonormal basis of states for each generic irreducible representation (IRREP) of F4. The basis of eigenstates for the IRREP [1000] of F4 is explicitly given. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20800 | |
| dc.identifier.doi | 10.5506/APhysPolB.42.1797 | |
| dc.identifier.issn | 0587-4254 | |
| dc.identifier.officialurl | http://www.actaphys.uj.edu.pl/vol42/abs/v42p1797 | |
| dc.identifier.relatedurl | http://www.actaphys.uj.edu.pl/index.html | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/43752 | |
| dc.issue.number | 8 | |
| dc.journal.title | Acta Physica Polonica B | |
| dc.language.iso | eng | |
| dc.page.final | 1813 | |
| dc.page.initial | 1797 | |
| dc.publisher | Jagellonian University | |
| dc.relation.projectID | MTM2010-18556 of the Ministerio de Ciencia e Innovación | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512 | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | Trace Operators for the State Labelling Problem in the Exceptional Lie Algebra F4 | |
| dc.type | journal article | |
| dc.volume.number | 42 | |
| dcterms.references | G. Racah, Group Theory and Spectroscopy, Princeton Univ. Press, NJ, 1951. B.R. Judd, Operators Techniques in Atomic Spectroscopy, McGraw-Will,nNew York 1963. B.G. Wybourne, Lith. J. Phys. 35, 495 (1995). F. Bernardoni, S.L. Cacciatori, B.L. Cerchiai, A. Scotti, Adv. Theor. Math.nPhys. 12, 889 (2008). L.J. Boya, Phys. At. Nucl. 73, 209 (2010). H.T. Wadzinski, Nuovo Cimento B62, 247 (1969). B.R. Judd, J. Phys. B: At. Mol. Opt. Phys. 28, L203 (1994). M.S. El Naschie, Chaos Solitons Fractals 35, 684 (2008). B. Gruber, L. O’Raifeartaigh, J. Math. Phys. 5, 1796 (1964). H. Casimir, Proc. R. Acad. Amstd. 34, 844 (1931). J.F. Cornwell, Group Theory in Physics, Academic Press, New York 1984. B.G. Wybourne, M.J. Bowick, Aust. J. Phys. 30, 259 (1977). W.G. McKay, J. Patera, D.R. Rand, Tables of Representations of Simple LienAlgebras, CRM, Montréal 1990. R. Campoamor-Stursberg, Acta Phys. Pol. B 41, 53 (2010). R.I. Tyshkevich, D.A. Suprunenko, Perestanovochnye Matritsy, Urss, Moskva 2003. A. Peccia, R.T. Sharp, J. Math. Phys. 17, 1313 (1976). R. Campoamor-Stursberg, Phys. Lett. A327, 138 (2004). A.M. Bincer, J. Phys. A: Math. Gen. 27, 3847 (1994). Y. Giroux, R.T. Sharp, J. Math. Phys. 28, 1671 (1987). R. Campoamor-Stursberg, J. Phys. A: Math. Theor. 44, 025204 (2011). V. Boyko, J. Patera, R.I. Popovych, J. Phys. A: Math. Gen. 40, 7557 (2007). B.R. Judd, J. Alloy. Compd. 250, 273 (1997). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 72801982-9f3c-4db0-b765-6e7b4aa2221b | |
| relation.isAuthorOfPublication.latestForDiscovery | 72801982-9f3c-4db0-b765-6e7b4aa2221b |
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