Tensor operators and Wigner–Eckart theorem for Uq→0(sl(2))

DOI10.1063/1.533435zbMath0971.81048arXivmath/9811143OpenAlexW2018633255MaRDI QIDQ2738143

Antonino Sciarrino, Vincenzo E. Marotta

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9811143

zbMATH Keywords

selection rules\(q\)-tensor operatorscrystal tensor operator

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• On q-tensor operators for quantum groups
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Crystalizing the q-analogue of universal enveloping algebras
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• The construction of the q-analogues of the harmonic oscillator operators from ordinary oscillator operators
• A completeness relation for the q-analogue coherent states by q-integration
• Tensor operators for quantum groups and applications

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