Simplified boson realization of the $so_q(3)$ subalgebra of $u_q(3)$ and matrix elements of $so_q(3)$ quadrupole operators

Mathematics – Quantum Algebra

Scientific paper

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13 pages, LaTeX. Uses ioplppt.sty, iopl12.sty

Scientific paper

A simplified boson realization of the $so_q(3)$ subalgebra of $u_q(3)$ is
constructed. A simplified form of the corresponding $so_q(3)$ basis states is
obtained. The reduced matrix elements of a special second-rank tensor operator
(quadrupole operator) are calculated in the $so_q(3)$ basis.

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