  The representations of general dimension are constructed for the $SU(2)$
Skyrme model, treated quantum mechanically {\it ab initio. } This quantum
Skyrme model has a negative mass term correction, that is not present in the
classical Hamiltonian. The magnitude of the quantum mechanical mass correction
increases with the dimension of the representation of the $SU(2)$ group. In the
case of a 5-dimensional representation it is possible to obtain satisfactory
predictions for the nucleon mass with the empirical value for the pion decay
constant.
