  Quantized Skyrmions with baryon numbers $B=1,2$ and 4 are considered and
angularly localized wavefunctions for them are found. By combining a few low
angular momentum states, one can construct a quantum state whose spatial
density is close to that of the classical Skyrmion, and has the same
symmetries. For the B=1 case we find the best localized wavefunction among
linear combinations of $j=1/2$ and $j=3/2$ angular momentum states. For B=2, we
find that the $j=1$ ground state has toroidal symmetry and a somewhat reduced
localization compared to the classical solution. For B=4, where the classical
Skyrmion has cubic symmetry, we construct cubically symmetric quantum states by
combining the $j=0$ ground state with the lowest rotationally excited $j=4$
state. We use the rational map approximation to compare the classical and
quantum baryon densities in the B=2 and B=4 cases.
