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Structure of the 12j and 15j coefficients in the Bargmann approach
dc.contributor.authorHuang, Cheng‐Shengen_US
dc.contributor.authorWu, Alfred C. T.en_US
dc.date.accessioned2010-05-06T23:31:10Z
dc.date.available2010-05-06T23:31:10Z
dc.date.issued1974-09en_US
dc.identifier.citationHuang, Cheng‐Sheng; Wu, Alfred C. T. (1974). "Structure of the 12j and 15j coefficients in the Bargmann approach." Journal of Mathematical Physics 15(9): 1490-1493. <http://hdl.handle.net/2027.42/71297>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71297
dc.description.abstractGenerating functions of the 12j and 15j angular momentum recoupling coefficients are computed explicitly in the Bargmann formalism. Symmetry properties are deduced therefrom. A geometrical Möbius strip representation (originally due to Ord‐Smith for the 12j case), which can be generalized to all n, suggests a 4n‐fold symmetry for the 3nj coefficients (n ≥ 4).en_US
dc.format.extent3102 bytes
dc.format.extent284470 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleStructure of the 12j and 15j coefficients in the Bargmann approachen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71297/2/JMAPAQ-15-9-1490-1.pdf
dc.identifier.doi10.1063/1.1666837en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceFor an excellent introduction to and collection of the classics, see L. C. Biedenharn and H. Van Dam, Eds., Quantum Theory of Angular Momentum (Academic, New York, 1968).en_US
dc.identifier.citedreferenceE. P. Wigner, famous unpublished 1940 manuscript, reprinted in Ref. 1.en_US
dc.identifier.citedreferenceJ. Schwinger, famous unpublished 1952 AEC Report, reprinted in Ref. 1.en_US
dc.identifier.citedreferenceV. Bargmann, Rev. Mod. Phys. 34, 829 (1962).en_US
dc.identifier.citedreferenceA. C. T. Wu, J. Math. Phys. 13, 84 (1972).en_US
dc.identifier.citedreferenceThe algebraic details are contained in C. S. Huang, Ph.D. thesis University of Michigan, 1973 (unpublished).en_US
dc.identifier.citedreferenceR. J. Ord‐Smith, Phys. Rev. 94, 1227 (1954).en_US
dc.identifier.citedreferenceT. Regge, Nuovo Cimento 11, 116 (1959).en_US
dc.identifier.citedreferenceH. A. Jahn and J. Hope, Phys. Rev. 93, 318 (1954).en_US
dc.identifier.citedreferenceA. P. Jucys, I. B. Levinson, and V. V. Vanagas, Mathematical Apparatus of the Theory of Angular Momentum, translated from Russian by Israel Program for Scientific Translation, 1962. The authors wish to thank Professor B. G. Wybourne for reminding them of this reference.en_US
dc.owningcollnamePhysics, Department of


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