Sl. Zhang et Ys. Duan, THE QUANTUM GROUP SUQ(2) AND Q-ANALOG OF ANGULAR-MOMENTUM OPERATORS IN QUANTUM-MECHANICS, International journal of theoretical physics, 33(6), 1994, pp. 1229-1235
We present three operators in quantum mechanics that obey the commutat
ion relations of quantum group SUq(2). These operators are nonlinear c
ombinations of the conventional angular momentum operators and are cal
led the quantum q-analog angular momentum operators. When the quantum
deformation parameter r = ln q vanishes, these quantum q-analog angula
r momentum operators reduce to the usual angular momentum operators.