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Representation of the five‐dimensional harmonic oscillator with scalar‐valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functions

dc.contributor.authorRowe, D. J.en_US
dc.contributor.authorHecht, Karl T.en_US
dc.date.accessioned2010-05-06T22:07:50Z
dc.date.available2010-05-06T22:07:50Z
dc.date.issued1995-09en_US
dc.identifier.citationRowe, D. J.; Hecht, K. T. (1995). "Representation of the five‐dimensional harmonic oscillator with scalar‐valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functions." Journal of Mathematical Physics 36(9): 4711-4734. <http://hdl.handle.net/2027.42/70418>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70418
dc.description.abstractVector coherent state methods, which reduce the U(5) ⊇ SO(5) ⊇ SO(3) subgroup chain, are used to construct basis states for the five‐dimensional harmonic oscillator. Algorithms are given to calculate matrix elements in this basis. The essential step is the construction of SO(5) ⊇ SO(3) irreps of type [v,0]. The methodology is similar to that used in two recent papers except that one‐dimensional, as opposed to multidimensional, vector‐valued wave functions are used to give conceptually simpler results. Another significant advance is a canonical resolution of the SO(5) ⊇ SO(3) multiplicity problem. © 1995 American Institute of Physics.en_US
dc.format.extent3102 bytes
dc.format.extent1438269 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.titleRepresentation of the five‐dimensional harmonic oscillator with scalar‐valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functionsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumPhysics Department, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationotherDepartment of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canadaen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70418/2/JMAPAQ-36-9-4711-1.pdf
dc.identifier.doi10.1063/1.530915en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.owningcollnamePhysics, Department of


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