• Corpus ID: 239024622

Hilbert space representation of maximal length and minimal momentum uncertainties

@inproceedings{Amouzouvi2021HilbertSR,
  title={Hilbert space representation of maximal length and minimal momentum uncertainties},
  author={Kossi Amouzouvi and Benjamin Appiah and Lat{\'e}vi M. Lawson and Abdel-Baset A. Mohamed},
  year={2021}
}
Perivolaropoulos has recently proposed a position-deformed Heisenberg algebra which includes a maximal length [Phys. Rev. D 95, 103523 (2017)]. He has shown that this length scale naturally emerges in the context of cosmological particle’s horizon or cosmic topology. Following this work, we propose a new deformed algebra and derive the maximal length uncertainty and its corresponding minimal momentum uncertainty from the generalized uncertainty principle. We construct a Hilbert space… 

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References

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