70 citations · 461 across the 40 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
quant-ph2014★ 12 cited
Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
Kh. P. Gnatenko, Yu. S. Krynytskyi, V. M. Tkachuk
Noncommutative space which is rotationally invariant is considered. The hydrogen atom is studied in this space. We exactly find the leading term in the asymptotic expansion of the…
quant-ph2014★ 31 cited
Hydrogen atom in rotationally invariant noncommutative space
Kh. P. Gnatenko, V. M. Tkachuk
We consider the noncommutative algebra which is rotationally invariant. The hydrogen atom is studied in a rotationally invariant noncommutative space. We find the corrections to th…
gr-qc2014★ 70 cited
Composite system in noncommutative space and the equivalence principle
Kh. P. Gnatenko
The motion of a composite system made of N particles is examined in a space with a canonical noncommutative algebra of coordinates. It is found that the coordinates of the center-o…