On the polar decomposition of the quantum SU(2) algebra

Abstract

Polar decomposition of the generators of the SU(2)q algebra is performed and its contraction limit to the deformed oscillator algebra is considered. Using the phase operator occurring in the decomposition and its conjugate, the authors write a realisation of the SU(2j+1) algebra into which they embed the deformed SU(2) realisation. Finally they discuss the classical limit of the polar decomposition and the case of the quantum SU(2) dynamics.