Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
arXiv:1701.00809 · doi:10.1016/j.physleta.2017.05.056
Abstract
The weak equivalence principle is studied in a space with noncommutativity of coordinates and noncommutativity of momenta. We find conditions on the parameters of noncommutativity which give the possibility to recover the equivalence principle in noncommutative phase space. It is also shown that in the case when these conditions are satisfied the motion of the center-of-mass of a composite system in noncommutative phase space and the relative motion are independent, the kinetic energy of composite system has additivity property and is independent on the systems composition. So, we propose conditions on the parameters of noncommutativity which give the possibility to solve the list of problems in noncommutative phase space.
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- System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
- Features of free particles system motion in noncommutative phase space
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- Exact solutions for two-body problems in 1D deformed space with minimal length
- Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
- Kinetic energy properties and weak equivalence principle in a space with GUP
- Features of description of composite system's motion in twist-deformed space-time
- Harmonic oscillator chain in noncommutative phase space with rotational symmetry