We study SU(2) Lattice Gauge Theory with dynamical fermions at non-zero che
mical 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 m
olecular dynamics algorithm on small lattices we find qualitative changes i
n the theory's spectroscopy at small and large values of mu. This prelimina
ry study should lay the groundwork for future large scale simulations. (C)
1999 Elsevier Science B.V. All rights reserved.