23 citations · 93 across the 16 of their papers we have counts for
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Features of description of composite system's motion in twist-deformed space-time
Kh. P. Gnatenko
Composite system made of particles is considered in twist-deformed space-time. It is shown that in the space the motion of the center-of-mass of the system depends on the relat…
Harmonic oscillator chain in noncommutative phase space with rotational symmetry
Kh. P. Gnatenko
We consider a quantum space with rotationally invariant noncommutative algebra of coordinates and momenta. The algebra contains tensors of noncommutativity constructed involving ad…
Parameters of noncommutativity in Lie-algebraic noncommutative space
Kh. P. Gnatenko
We find condition on the parameters of noncommutativity on which a list of important results can be obtained in a space with Lie-algebraic noncommutativity. Namely, we show that th…
Time reversal and rotational symmetries in noncommutative phase space
Kh. P. Gnatenko, M. I. Samar, V. M. Tkachuk
Time reversal symmetry is studied in a space with noncommutativity of coordinates and noncommutativity of momenta of canonical type. The circular motion is examined as an apparent…
System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
Kh. P. Gnatenko
Rotationally invariant space with noncommutativity of coordinates and noncommutativity of momenta of canonical type is considered. A system of interacting harmonic oscillators…
Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
Kh. P. Gnatenko
We study influence of noncommutativity of coordinates and noncommutativity of momenta on the motion of a particle (macroscopic body) in uniform and non-uniform gravitational fields…