English

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

Quantum Algebra 2007-05-23 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math/9811143,
  title  = {Tensor operators and Wigner-Eckart theorem for U_q->0(sl(2))},
  author = {Vincenzo Marotta and Antonino Sciarrino},
  journal= {arXiv preprint arXiv:math/9811143},
  year   = {2007}
}

Comments

11 pages, Latex file, no figures