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Open Quantum Systems Decoherence

Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity

arXiv
Authors: Kh. P. Gnatenko, V. M. Tkachuk

Year

2016

Paper ID

41677

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

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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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • The weak equivalence principle is studied in a space with noncommutativity of coordinates and noncommutativity of momenta.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1701.00809 [2] arXiv https://arxiv.org/abs/1701.00809 [3] Publisher https://arxiv.org/abs/1701.00809

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