Classical mechanics has a natural mathematical setting in symplectic geometry and it may be asked if the same is true for quantum mechanics. Geometric quantization is one formalization of the notion of quantization of a classical mechanical system/classical field theory to a quantum mechanical system/quantum field theory. Geometric quantization play an important role in Nuclear Collective Model. see here or restricted symplectic model of collective nuclear motion. I am looking for recent applications of geometric quantization theory in nuclear physics.