QUANTUM PHASE AND A Q-DEFORMED QUANTUM OSCILLATOR

The q-deformed quantum oscillator for q = e(i)2-pi/(s + 1) has reducible representations that admit unitary phase operators. In the classical limit s --> infinity, of zero deformation, they provide the phase angles of the ordinary quantum oscillator. The formalism is applied to the master equation of a q-deformed laser mode that is introduced and solved in the steady state and then used to evaluate the statistical moments of the cosine and sine operators.