  We study the generalized uncertainty principle (GUP) modified simple harmonic
oscillator (SHO) in the operator formalism by considering the appropriate form
of the creation and annihilation operators $ A, A^\dagger $. The angular
momentum algebra is then constructed using Schwinger's model of angular
momentum with two independent GUP modified SHOs. With the GUP modified angular
momentum algebra, we discuss coupling of angular momentum for a two-particle
composite system. Further, we calculate the Clebsch-Gordan (CG) coefficients
for a two-particle system explicitly. Our results show that the CG coefficients
do not receive any corrections upto quadratic GUP.
