  In the Skyrme model, the Lagrangian can be quantized in several ways using
the collective coordinate approach. Not all of which produce quantum states
that can be interpreted as physical particles. For example the SU(2) collective
coordinate approach produces both integral and half-integral spin and isospin
states. Only half of these are the physical baryons. Less well known is the
fact that it is equally possible to quantize the system using the SO(3)
collective coordinates. This produces only unphysical integral spin and isospin
states. To fulfill the goal of being able to express a classical skyrmion as a
coherent state of baryons directly in terms of the baryon states, surprisingly
a combination of both collective coordinate approaches is required. To prepare
for the subsequent application to skyrmion formation through disoriented chiral
condensates in heavy ion collisions, the Skyrme model is rigorously quantized
using the Dirac prescription for constrained systems. This is shown for both
the SU(2) as well as the SO(3) collective coordinate approach.
