TY - JOUR
AU - Gnatenko, Kh. P.
AU - Tkachuk, V. M.
PY - 2019/01/06
Y2 - 2024/10/13
TI - Two-Particle System in Noncommutative Space with Preserved Rotational Symmetry
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 61
IS - 5
SE - General problems of theoretical physics
DO - 10.15407/ujpe61.05.0432
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019086
SP - 432
AB - <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>
ER -