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

Journal Article · Sun May 01 04:00:00 EDT 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527949· OSTI ID:5264815

Louck, J D; Biedenharn, L C; Lohe, M A

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 )G/sup t//sub q/), t = 0,1,..., q+1, q = 0,1,... . By obtaining explicitly the set of all polynomials )G/sup t//sub q/), this paper completes the construction of all SU(3) denominator functions.

• Research Organization: Los Alamos National Laboratory, Theoretical Division, Los Alamos, New Mexico 87545
• OSTI ID: 5264815
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FUNCTIONAL ANALYSIS
FUNCTIONS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
MULTIPLICITY
POLYNOMIALS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TENSORS