# SU(2)-particle sigma model: momentum-space quantization of a particle on the sphere S3

@article{Guerrero2020SU2particleSM, title={SU(2)-particle sigma model: momentum-space quantization of a particle on the sphere S3}, author={Julio Guerrero and Francisco F. L{\'o}pez-Ruiz and V{\'i}ctor Aldaya}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2020}, volume={53} }

We perform the momentum-space quantization of a spin-less particle moving on the group manifold, that is, the three-dimensional sphere S3, by using a non-canonical method entirely based on symmetry grounds. To achieve this task, non-standard (contact) symmetries are required as already shown in a previous article where the configuration-space quantization was given. The Hilbert space in the momentum space representation turns out to be made of the subset of oscillatory solutions of the…

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