View Item 

Show simple item record

Recoupling Coefficients for the Group SU(3)

dc.contributor.authorResnikoff, M.en_US
dc.date.accessioned2010-05-06T20:46:45Z
dc.date.available2010-05-06T20:46:45Z
dc.date.issued1967-01en_US
dc.identifier.citationResnikoff, M. (1967). "Recoupling Coefficients for the Group SU(3)." Journal of Mathematical Physics 8(1): 79-83. <http://hdl.handle.net/2027.42/69553>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69553
dc.description.abstractThe Hilbert space method, employed in the previous article to obtain the coupling coefficients of SU(3), is used here to obtain the recoupling, or 6(λμ), coefficients of SU(3). The coefficients are formulated in terms of a generating function involving an integral, and an explicit expression is integrated out for the general nondegenerate case. The symmetries of the 6(λμ) coefficients are discussed.en_US
dc.format.extent3102 bytes
dc.format.extent273073 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.titleRecoupling Coefficients for the Group SU(3)en_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumHarrison M. Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69553/2/JMAPAQ-8-1-79-1.pdf
dc.identifier.doi10.1063/1.1705104en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceA form similar to this has been derived by J. J. de Swart, Nuovo Cimento 31, 420 (1964). Equation (1.1) is the recoupling coefficient multiplied by the factor (−1)k′+k13(N12N13)−1/2,(−1)k′+k13(N12N13)−1∕2, where N12N12 and N13N13 are the dimensions of the spaces Dλ12μ12, Dλ13μ13 (see Ref. 3 below).en_US
dc.identifier.citedreferenceJ. J. de Swart, Rev. Mod. Phys. 35, 916 (1963).en_US
dc.identifier.citedreferenceM. Resnikoff, preceding paper, J. Math. Phys. 8, 63 (1967). This article is hereafter referred to as (I).en_US
dc.identifier.citedreferenceJ. R. Derome and W. T. Sharp, J. Math. Phys. 6, 1584 (1965), have discussed symmetries for the 6‐j symbols of a general group. In contrast to their paper, the phase and the method of labeling degenerate states is specified here, and this leads to simpler relations. de Swart (Ref. 1) obtains symmetry relations for octet recouplings.en_US
dc.identifier.citedreferenceV. Bargmann, Rev. Mod. Phys. 34, 829 (1962).en_US
dc.identifier.citedreferenceThe general functional dependence is given by Eqs. (3.33), (3.34), and (3.35) of (I).en_US
dc.identifier.citedreferenceThe measure dμn(ζ)dμn(ζ) is defined in Eq. (1.1b) of (I), or see Bargmann (Ref. 5).en_US
dc.identifier.citedreferenceK. T. Hecht, Nucl. Phys. 62, 1 (1965).en_US
dc.identifier.citedreferenceK. T. Hecht, Selected Topics in Nuclear Spectroscopy (North‐Holland Publishing Company, Amsterdam, 1964).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Name:
JMAPAQ-8-1-79-1.pdf
Size:
266.6KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.