Composite system in deformed space with minimal length

Understand

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 new 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 the hydrogen atom $n$S energy levels is re-evaluated.