  Various models of quantum gravity suggest a modification of the Heisenberg's
Uncertainty Principle, to the so-called Generalized Uncertainty Principle,
between position and momentum. In this work we show how this modification
influences the theory of angular momentum in Quantum Mechanics. In particular,
we compute Planck scale corrections to angular momentum eigenvalues, the
Hydrogen atom spectrum, the Stern-Gerlach experiment and the Clebsch-Gordan
coefficients. We also examine effects of the Generalized Uncertainty Principle
on multi-particle systems.
