D J Rowe and G Thiamova 2008 J. Phys. A: Math. Theor. 41 065206 doi:10.1088/1751-8113/41/6/065206
Construction of SU(3) irreps in canonical SO(3)-coupled bases
D J Rowe1 and G Thiamova2,3
Show affiliationsAlternative methods for defining canonical SO(3)-coupled bases for SU(3) irreps are considered and compared. It is shown that a basis that diagonalizes a particular linear combination of SO(3) invariants in the SU(3) universal enveloping algebra gives basis states that have good K quantum numbers in the asymptotic rotor-model limit.
- PACS
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02.20.Qs General properties, structure, and representation of Lie groups
- MSC
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17B35 Universal enveloping (super)algebras (See also 16S30)
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
- Subjects
- Dates
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Issue 6 (15 February 2008)
Received 6 November 2007, in final form 3 January 2008
Published 29 January 2008
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Construction of SU(3) irreps in canonical SO(3)-coupled bases
D J Rowe and G Thiamova 2008 J. Phys. A: Math. Theor. 41 065206
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