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A projection-based solution to the SP(2N) state labeling problem

dc.contributor.authorGould, M.D.
dc.contributor.authorKalnins, Ernie G.
dc.date.accessioned2008-10-31T02:26:22Z
dc.date.available2008-10-31T02:26:22Z
dc.date.issued1985-07
dc.identifier.citationGould, M.D. & Kalnins, E.G. (1985). A projection-based solution to the SP(2N) state labeling problem. Journal of Mathematical Physics, 26, 1446.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1223
dc.description.abstractA projection-based solution to the symplectic group state labeling problem is presented. The approach yields a nonorthogonal Gel'fand–Tsetlin basis for the irreducible representations of Sp(2n). A method for evaluating the corresponding overlap coefficients is discussed. The action of the Sp(2n) generators, in the basis obtained, is determined and some matrix element formulas are derived. The results obtained are comparable to the matrix element formulas for O(n) and U(n).en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/26/1446/1en_US
dc.rightsCopyright 1985American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.subjectSP groupsen_US
dc.subjectirreducible representationsen_US
dc.subjectmatricesen_US
dc.subjectmatrix elementsen_US
dc.subjectO groupsen_US
dc.subjectU groupsen_US
dc.subjectquantum numbersen_US
dc.subjectlabellingen_US
dc.subjectmultiplicityen_US
dc.subjectvectorsen_US
dc.subjecteigenvaluesen_US
dc.subjectunitarityen_US
dc.subjectprojection operatorsen_US
dc.subjectpolynomialsen_US
dc.subjectcommutation relationsen_US
dc.subjectmetricsen_US
dc.subjectmatrix algebraen_US
dc.subjectalgebraen_US
dc.titleA projection-based solution to the SP(2N) state labeling problemen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.526908en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page1446en_NZ
pubs.elements-id84054
pubs.end-page1457en_NZ
pubs.issue7en_NZ
pubs.volume26en_NZ


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