  We consider the Schwinger's method of angular momentum addition using the
SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the
total spin states obtained are: one boson singlet state and an arbitrary number
of spin-1/2 states, the later ones are energy degenerate. It means that we have
in this case supersymmetric quantum mechanics and also the addition of angular
momentum for massless particles. We review too the cases of two bosonic and
fermionic oscillators.
