Composite system in deformed space with minimal length

@article{Quesne2010CompositeSI,
  title={Composite system in deformed space with minimal length},
  author={C Quesne and V. M. Tkachuk},
  journal={Physical Review A},
  year={2010},
  volume={81},
  pages={012106}
}
For composite systems made of N different particles living in a space characterized by the same deformed Heisenberg algebra, but with different deformation parameters, we define the total momentum and the center-of-mass position to first order in the deformation parameters. Such operators satisfy the deformed algebra with effective deformation parameters. As a consequence, a two-particle system can be reduced to a one-particle problem for the internal motion. As an example, the correction to… 

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