  We study SU(2) Lattice Gauge Theory with dynamical fermions at non-zero
chemical potential $\mu$. The symmetries special to SU(2) for staggered
fermions on the lattice are discussed explicitly and their relevance to
spectroscopy and condensates at non-zero chemical potential are considered.
Using the molecular dynamics algorithm on small lattices we find qualitative
changes in the theory's spectroscopy at small and large values of $\mu$. This
preliminary study should lay the groundwork for future large scale simulations.
