@article{Gnatenko_Tkachuk_2019, title={Two-Particle System in Noncommutative Space with Preserved Rotational Symmetry}, volume={61}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019086}, DOI={10.15407/ujpe61.05.0432}, abstractNote={<p>We consider a system of two particles in the noncommutative space, which is rotationally invariant. It is shown that the coordinates of the center-of-mass position and the coordinates of relative motion satisfy a noncommutative algebra with corresponding effective tensors of noncommutativity. A hydrogen atom is studied as a two-particle system. We have found the corrections to the energy levels of the hydrogen atom up to the second order in the parameter of noncommutativity.</p>}, number={5}, journal={Ukrainian Journal of Physics}, author={Gnatenko, Kh. P. and Tkachuk, V. M.}, year={2019}, month={Jan.}, pages={432} }