• Corpus ID: 16614734

Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)

  title={Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)},
  author={Jens Mund and Robert Schrader},
  journal={arXiv: High Energy Physics - Theory},
  • J. MundR. Schrader
  • Published 8 October 1993
  • Mathematics, Physics
  • arXiv: High Energy Physics - Theory
Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of $n$ ``free'' nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincar\'{e} group respectively. In the relativistic case we also discuss the situation where the braid group is replaced by the ribbon braid group. 

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