# 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…

## 83 Citations

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- PhysicsModern Physics Letters A
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Composite system made of N particles is considered in twist-deformed spacetime. It is shown that in the space the motion of the center-of-mass of the system depends on the relative motion. Influence…

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- Physics
- 2011

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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We reduce two-body problem to the one-body problem in general case of deformed Heisenberg algebra leading to minimal length.Two-body problems with delta and Coulomb-like interactions are solved…

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In the framework of the deformed quantum mechanics with a minimal length, we consider the motion of a nonrelativistic particle in a homogeneous external field. We find the integral representation for…

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- Physics, Mathematics
- 2013

In a series of papers,Quesne andTkachuk (2006) presented aD+ 1-dimensional (β,β)-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal measurable length. In this paper,…

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- 2015

We present exact analytical solutions to the classical equations of motion and analyze the dynamical consequences of the existence of a minimal length for the free particle, particle in a linear…

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The existence of a minimum measurable length could deform not only the standard quantum mechanics but also classical physics. The effects of the minimal length on classical orbits of particles in a…

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Deformed algebra [ X, P ] = i (cid:126) (1 + βP 2 + αX 2 ) leading to the minimal uncertainties in position and momentum is considered. It is shown that the trajectory of motion of a free particle in…

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- 2018

Influence of noncommutativity on the motion of composite system is studied in noncommutative phase space of canonical type. A system composed by N free particles is examined. We show that because of…

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A space with deformed Poisson brackets for coordinates and momenta leading to the minimal length is considered. Features of description of motion of a body in the space are examined. We propose…

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