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• W2898882664 abstract "We find the conditions for the parameters of noncommutativity in which a list of important results can be obtained in a space with Lie-algebraic noncommutativity. Namely, we show that if the parameters of noncommutativity corresponding to a particle are proportional inversely to its mass, the weak equivalence principle is recovered, the Poisson brackets for the coordinates and momenta of the center of mass of a composite system do not depend on its composition and reproduce relations of noncommutative algebra for the coordinates and momenta of individual particles (coordinates and momenta of the center of mass, coordinates and momenta of the relative motion are considered to be defined in traditional way). In addition, in the particular case of the Lie-algebraic noncommutativity (space coordinates commute to time) on this condition, the motion of the center of mass is independent of the relative motion and the problem of the motion of the center of mass and the problem corresponding to the internal motion can be studied separately." @default.
• W2898882664 created "2018-11-09" @default.
• W2898882664 creator A5052755561 @default.
• W2898882664 date "2019-01-15" @default.
• W2898882664 modified "2023-09-24" @default.
• W2898882664 title "Parameters of noncommutativity in Lie-algebraic noncommutative space" @default.
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• W2898882664 doi "https://doi.org/10.1103/physrevd.99.026009" @default.
• W2898882664 hasPublicationYear "2019" @default.
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