  The canonical quantization method for collective coordinates in crystalline
configurations of the generalized Skyrme model is applied in order to find the
quantum ground state of Skyrmion crystals and study the quantum corrections to
the binding energy resulting from the isospin degrees of freedom. This leads to
a consistent description of asymmetric nuclear matter within the Skyrme
framework and allows us to compute the symmetry energy of the Skyrmionic
crystal as a function of the baryon density, and to compare with recent
observational constraints.
