Maximal localization in the presence of minimal uncertainties in positions and in momenta

@article{Hinrichsen1996MaximalLI,
  title={Maximal localization in the presence of minimal uncertainties in positions and in momenta},
  author={Haye Hinrichsen and Achim Kempf},
  journal={Journal of Mathematical Physics},
  year={1996},
  volume={37},
  pages={2121-2137}
}
Small corrections to the uncertainty relations, with effects in the ultraviolet and/or infrared, have been discussed in the context of string theory and quantum gravity. Such corrections lead to small but finite minimal uncertainties in position and/or momentum measurements. It has been shown that these effects could indeed provide natural cutoffs in quantum field theory. The corresponding underlying quantum theoretical framework includes small ‘‘noncommutative geometric’’ corrections to the… 
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