Composite system in deformed space with minimal length

  title={Composite system in deformed space with minimal length},
  author={C Quesne and V. M. Tkachuk},
  journal={Physical Review A},
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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In 2006 Quesne and Tkachuk (J. Phys. A: Math. Gen.39, 10909, (2006)) introduced a (D+1)-dimensional (β, β′)-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal length.

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  • J. Dankovicová
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Czech belongs to the western group of Slavonic languages and is spoken as a mother tongue mainly in the Czech Republic. In its two provinces of Bohemia and Moravia it is spoken by about 10 million

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