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On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form

Louck, J.D., Biedenharn, L.C. and Lohe, Max A. (1988). On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form. Journal of Mathematical Physics,29(5):1106-1117.

Document type: Journal Article
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Title On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
Author Louck, J.D.
Biedenharn, L.C.
Lohe, Max A.
Journal Name Journal of Mathematical Physics
Publication Date 1988
Volume Number 29
Issue Number 5
ISSN 0022-2488   (check CDU catalogue open catalogue search in new window)
Scopus ID 2-s2.0-0009226272
Start Page 1106
End Page 1117
Total Pages 12
Place of Publication United States of America
Publisher A I P Publishing LLC
Field of Research PHYSICAL SCIENCES
Abstract The canonical resolution of the multiplicity problem for tensor operators in SU(3) is equivalent to the map (the denominator mapping) from the set of all SU(3) unit tensor operators to SU(3) invariant functions (the denominator functions). The denominator function vanishes precisely on that characteristic null space that specifies each operator uniquely since [for SU(3)] the characteristic null spaces are known to be simply ordered. Each denominator function can be expressed, up to explicitly known multiplicative factors, as a ratio of two successive polynomials in the set {Gt g}, t=0,1,..., q+1, q=0,1,... . By obtaining explicitly the set of all polynomials {Gt q}, this paper completes the construction of all SU(3) denominator functions.
DOI http://dx.doi.org/10.1063/1.527949   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
 
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Created: Fri, 29 Aug 2014, 20:30:07 CST by Anthony Hornby