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

P. P. Raychev; R. P. Roussev; P. A. Terziev; D. Bonatsos; N. Lo Iudice

paper

Simplified boson realization of the $s o_{q} (3)$ subalgebra of $u_{q} (3)$ and matrix elements of $s o_{q} (3)$ quadrupole operators

arXiv:q-alg/9701023

Abstract

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

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

Simplified boson realization of the soq​(3) subalgebra of uq​(3) and matrix elements of soq​(3) quadrupole operators

Abstract

Simplified boson realization of the $s o_{q} (3)$ subalgebra of $u_{q} (3)$ and matrix elements of $s o_{q} (3)$ quadrupole operators