Tensor operators and Wigner-Eckart theorem for U_q->0(sl(2))

Details Tensor operators and Wigner-Eckart theorem for U_q->0(sl(2)) Tensor operators and Wigner-Eckart theorem for U_q->0(sl(2))

1998-11-24

arxiv.org/abs/math/9811143v1

Mathematics

Quantum Algebra

11 pages, Latex file, no figures

Scientific paper

Crystal tensor operators, which tranform under U_q->0(sl(2)), in analogous way as the vectors of the crystal basis, are introduced. The Wigner-Eckart theorem for the crystal tensor is defined: the selection rules depend on the initial state and on the component of the tensor operator; the transition amplitudes to the states of the same final irreducible representation are all equal.

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