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

  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},
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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