  The Skyrme model is a nonlinear classical field theory which models the
strong interaction between atomic nuclei. In order to compare the predictions
of the Skyrme model with nuclear physics, it has to be quantized. We show,
summarizing earlier work, how the rational map ansatz can be employed to
calculate the Finkelstein-Rubinstein constraints which arise during
quantization. Then we give an overview of current results on the quantum ground
states in the Skyrme model. We end with an outlook on future work.
