Construction of SU(3) irreps in canonical SO(3)-coupled bases
classification
🧮 math-ph
math.MP
keywords
canonicalbasesbasiscoupledirrepsalgebraalternativeasymptotic
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Alternative canonical 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.
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