Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle

DOI10.1142/S0217732316500267zbMath1332.83074arXiv1506.05287OpenAlexW3098602769MaRDI QIDQ2796830

V. M. Tkachuk, Kh. P. Gnatenko

Publication date: 30 March 2016

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05287

zbMATH Keywords

rotational symmetryequivalence principlenoncommutative space

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65)

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Galilean and Lorentz transformations in a space with generalized uncertainty principle ⋮ Features of free particles system motion in noncommutative phase space and conservation of the total momentum ⋮ Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space ⋮ Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity ⋮ Noncommutative phase space with rotational symmetry and hydrogen atom ⋮ Exact solutions for two-body problems in 1D deformed space with minimal length ⋮ Composite system in rotationally invariant noncommutative phase space ⋮ Exact continuity equation in a space with minimal length ⋮ Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle ⋮ Kinematic variables in noncommutative phase space and parameters of noncommutativity

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