Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

@article{Toppan2020Z2Z2P,
  title={Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians},
  author={Francesco Toppan},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2020},
  volume={54}
}
  • F. Toppan
  • Published 26 August 2020
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
The recent surge of interest in Z2×Z2 -graded invariant mechanics poses the challenge of understanding the physical consequences of a Z2×Z2 -graded symmetry. In this paper it is shown that non-trivial physics can be detected in the multiparticle sector of a theory, being induced by the Z2×Z2 -graded parastatistics obeyed by the particles. The toy model of the N=4 supersymmetric/ Z2×Z2 -graded oscillator is used. In this set-up the one-particle energy levels and their degenerations are the same… 

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