  We solve the Gauss law of SU(2) lattice gauge theory using the harmonic
oscillator prepotential formulation. We construct a generating function of a
manifestly gauge invariant and orthonormal basis in the physical Hilbert space
of (d+1) dimensional SU(2) lattice gauge theory. The resulting orthonormal
physical states are given in closed form. The generalization to SU(N) gauge
group is discussed.
